Notice (8): Undefined offset:  0 [APP/Controller/PlaylistController.php, line 361]
Code Context
                $n = array_keys($lista,$lecture["Lecture"]["id"]);

                if($n[0]-1 == 0){
$playlist	=	array(
	"Playlist" => array(
	"id" => "4",
	"name" => "Álgebra",
	"slug" => "algebra",
	"number" => "2",
	"description" => "Rama que estudia las reglas de las expresiones y ecuaciones con variables.",
	"lateral" => "1",
	"image" => "wE6OydOzC-k",
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)
$video	=	array(
	"Video" => array(
	"id" => "115",
	"name" => "Determinantes (sistemas lineales 3x3)",
	"youtube" => "sS-vy-es0j0",
	"slug" => "determinantes-sistemas-lineales-3x3",
	"date" => "2014-10-06 02:08:12",
	"mp4" => "https://dl-web.dropbox.com/get/Videos_math2me_mp4_480p/%C3%81lgebra_m2m_480p/Cap%C3%ADtulo%20IX.%20Ecuaciones%20simult%C3%A1neas%20lineales%203x3/Determinantes%20(sistemas%20lineales%203x3).mp4?_subject_uid=70082452&w=AADs7k-YnAc7pwrPEELB3a488H6qRLm5HfLLj0QtJZqPVg&dl=1",
	"flv" => "",
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	"words" => ""
),
	"Lecture" => array(
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)
)
$time_start	=	1425342720.33
$vID	=	"115"
$params_p	=	array(
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),
	"order" => array(
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)
)
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),
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),
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)
)
$lecture	=	false
$chapter_video	=	null
$positions	=	array(
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	"Position" => array(),
	"Star" => array()
),
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	"Position" => array(),
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),
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),
	array(
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)
$indexP	=	array(
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	"Lecture" => array(),
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),
	array(
	"Playlist" => array(),
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),
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),
	array(
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)
)
$id	=	"4"
$title	=	"Determinantes (sistemas lineales 3x3) @ math2me.com"
$params_videos_s	=	array(
	"limit" => "4",
	"order" => "Lecture.id DESC",
	"conditions" => array(
	"Lecture.playlist_id" => "4"
)
)
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	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
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)
$params1	=	array(
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	"Lecture.playlist_id" => "4"
),
	"order" => array(
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)
)
$params	=	array(
	"conditions" => array(
	"Chapter.playlist_id" => "4"
),
	"order" => array(
	"Chapter.number ASC"
)
)
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PlaylistController::video() - APP/Controller/PlaylistController.php, line 361
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 473
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 107
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 89
[main] - APP/webroot/index.php, line 96

Notice (8): Undefined offset:  0 [APP/Controller/PlaylistController.php, line 364]
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PlaylistController::video() - APP/Controller/PlaylistController.php, line 364
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 473
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 107
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 89
[main] - APP/webroot/index.php, line 96

Notice (8): Undefined offset:  -1 [APP/Controller/PlaylistController.php, line 364]
Code Context
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$id	=	"4"
$title	=	"Determinantes (sistemas lineales 3x3) @ math2me.com"
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PlaylistController::video() - APP/Controller/PlaylistController.php, line 364
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 473
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 107
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 89
[main] - APP/webroot/index.php, line 96

Notice (8): Undefined offset:  0 [APP/Controller/PlaylistController.php, line 366]
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	"conditions" => array(
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)
)
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	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
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),
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	"Level" => array(),
	"Video" => array(),
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),
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	"Level" => array(),
	"Video" => array(),
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),
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	"Curriculum" => array(),
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	"Video" => array(),
	"Subject" => array()
)
)
$params1	=	array(
	"conditions" => array(
	"Lecture.playlist_id" => "4"
),
	"order" => array(
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)
)
$params	=	array(
	"conditions" => array(
	"Chapter.playlist_id" => "4"
),
	"order" => array(
	"Chapter.number ASC"
)
)
$videos	=	array(
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PlaylistController::video() - APP/Controller/PlaylistController.php, line 366
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 473
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 107
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 89
[main] - APP/webroot/index.php, line 96

Notice (8): Undefined offset:  0 [APP/Controller/PlaylistController.php, line 369]
Code Context
                    $siguiente = null;
                }else{
                    $siguiente = $lista[$n[0]+1];
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),
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)
)
$id	=	"4"
$title	=	"Determinantes (sistemas lineales 3x3) @ math2me.com"
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Determinantes (sistemas lineales 3x3) [

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---

Álgebra

I. Traducción de expresiones algebraicas

• 1. Traducción de lenguaje verbal a lenguaje algebraico
• 2. Ejercicios de traducir expresiones algebraicas un lenguaje común
• 3. Traducir un enunciado a expresión matemática
• 4. Traducción de lenguaje algebraico a lenguaje verbal
• 5. Ejercicio de traducir una ecuación a un lenguaje verbal
• 6. Traducción + Interpretación = Ecuación
• 7. Traducir a una expresión algebraica un enunciado de COCIENTE
• 8. Sustituir valores en la expresión (5a+7b)(4)

II. Razones y proporciones

• 9. Concepto de razón
• 10. Concepto de proporción
• 11. Propiedades de las proporciones
• 12. Repartir 360 pesos entre 3 amigos de manera proporcional (método 1)
• 13. Repartir 360 pesos entre 3 amigos de manera proporcional (método 2)
• 14. Razón entre áreas de 2 cuadrados, dados sus perímetros
• 15. Ejercicios de proporciones
• 16. Ejercicio donde se utilizan 2 puntos para una proporción
• 17. Regla de tres simple + ejercicios
• 18. Hallar cantidad de litros de gasolina para 721km (regla de 3 simple)
• 19. Ejercicio de una regla de 3 simple
• 20. Ejercicio 1 de regla de tres (variación directa)
• 21. Ejercicio 2 de regla de tres (variación directa)
• 22. Uso de la regla de 3 simple para alimentar caballos
• 23. Ejercicio de una regla de 3 entre los km y gasolina de un auto
• 24. Porcentajes (utilizando proporciones)
• 25. Tiempo de manejar 15km a 75km/hr
• 26. Ejercicio de porcentaje de un pantalón utilizando la regla de 3
• 27. Ejercicio de porcentaje en el pago de un celular (regla de tres)
• 28. Cantidad de alumnos que representa un porcentaje
• 29. Variaciones directas e inversas
• 30. Ejercicio 1 de regla de tres (variación inversa)
• 31. Ejercicios de las variaciones directas e inversas
• 32. Variación compuesta (directa, inversa y mixta)
• 33. Ejercicio de una variación inversa, manguera que llena un taque

III. Polinomios

• 34. Conceptos importantes de los polinomios
• 35. Identificar el concepto de polinomio
• 36. Ejercicio para hallar el grado de un polinomio
• 37. Suma / resta de polinomios
• 38. Simplificación de una ecuación con variables
• 39. Ejercicio de simplificación de una expresión algebraica con una variable
• 40. Ejercicio de simplificación de una expresión algebraica con 2 variables
• 41. Obtener el perímetro de una figura con variables
• 42. Signos de agrupación en polinomios
• 43. Reducción de términos semejantes
• 44. Ejercicio 1 de simplificación de una expresión algebraica con paréntesis
• 45. Ejercicio 2 de simplificación de una expresión algebraica con paréntesis
• 46. Ejercicio 3 de simplificación de una expresión algebraica con paréntesis
• 47. Simplificar una expresión algebraica con 2 paréntesis
• 48. Ejercicio de simplificación de una expresión algebraica con paréntesis y corchete
• 49. Leyes de los exponentes
• 50. Desarrollar (-5)²(-3)²
• 51. Desarrollar 2(2x²)
• 52. Identificar el uso de un exponente en un monomio
• 53. Simplificar (a^0)(b^0)+(c^0)+4(d^0)
• 54. Multiplicar 5^n[5^(3n)+2^n]
• 55. Simplificar [(-22x^5y^7)/(11x6y5)]^4
• 56. Ejercicios de leyes de los exponentes
• 57. Multiplicación de polinomios
• 58. Ejercicio de multiplicación de 2 binomios
• 59. Multiplicar monomios utilizando leyes de los exponentes
• 60. Factor que cumple la igualdad
• 61. Multiplicar una expresión de un monomio con un binomio
• 62. Ejercicio de multiplicar 2 binomios
• 63. multiplicar (a-b+c)(a+b-c)
• 64. Identificar el producto de 2 binomios conjugados
• 65. Hallar la expresión del área de un rectángulo, bajo condiciones dadas
• 66. Ejercicio para simplificar una expresión racional
• 67. Ejercicio de simplificar una expresión racional (ley de los exponentes)
• 68. Simplificación de un cociente de términos con exponentes
• 69. Simplificar el cociente de expresiones algebraicas con paréntesis
• 70. Ejercicio para simplificar un cociente de expresiones de una variable común
• 71. División de polinomios
• 72. Ejercicio de división de polinomios
• 73. Simplificar la expresión algebraica: 3(x+4)(x-3)-(x+2)(x-1)+2
• 74. Multiplicar (a+2)(a-3)(a+1)

IV. Productos notables

• 75. Binomio con término común
• 76. Binomio conjugado
• 77. Multiplicar binomios conjugados:(-2k-n)(-2k+n)
• 78. Multiplicar binomios con raíces (directo): (√ 5 + √ 8)(√ 5 - 2√ 2)
• 79. Multiplicar binomios conjugados con raíces (no directo): (√ 5 + √ 8)(√ 5 - 2√ 2)
• 80. Binomio al cuadrado (versión nueva)
• 81. Identificar a un binomio al cuadrado
• 82. Ejercicio para desarrollar un binomio al cuadrado
• 83. Binomio al cuadrado: [x-(x^-1)]²
• 84. Binomio al cuadrado con raíz cuadrada de 2 como fracción: (X/√ 2 +6)²
• 85. Desarrollar (9a²b³c-7ab²c²)² usando fórmula
• 86. Desarrollar (9a²b³c-7ab²c²)² multiplicando términos
• 87. Binomio al cubo
• 88. Multiplicación de binomios conjugados con raices
• 89. Productos notables - completo
• 90. Triángulo de Pascal y binomio de Newton
• 91. Encontrar suma de cubos, dadas condiciones iniciales
• 92. Desarrollar (1-x^2)^4
• 93. Binomio con exponente negativo: (√2+√3)^-2

V. Factorización

• 94. Métodos de factorización
• 95. Factor Común
• 96. Factorizar por factor común con fracciones
• 97. Ejercicio para extraer el factor común
• 98. Ejercicio de factorizar por término común
• 99. Ejercicio de factorizar por factor común
• 100. Diferencia de cuadrados
• 101. Factorizar (7x+y)² - 81
• 102. Obtener el área entre 2 figuras cuadradas
• 103. Ejercicio de factorizar por diferencia de cuadrados
• 104. Trinomio de la forma: x^2+bx+c
• 105. Ejercicio 1 de factorizar un trinomio de la forma x^2+bx+c
• 106. Ejercicio 2 de factorizar un trinomio de la forma x^2+bx+c
• 107. Trinomio de forma: ax^2+bx+c
• 108. Trinomio cuadrado perfecto
• 109. Hallar las longitudes de una cancha rectangular, conociendo su área
• 110. Factorizar un Trinomio cuadrado perfecto con fracciones
• 111. Factorizar suma de cubos (x^3 + y^3)
• 112. Factorizar diferencia de cubos (x^3 - y^3)
• 113. Factorización por agrupación
• 114. Factorizar 10x^2 -23xy -5y^2
• 115. Factorizar 4z³-1-z²+4z
• 116. Factorizar x³-4x²+x+6 (división sintética o ruffini)

VI. Expresiones racionales

• 117. Cociente de expresiones algebraicas, sin realizar división (1 al 4)
• 118. Cociente de expresiones algebraicas, sin realizar división (5 al 7)
• 119. Simplificar: (15x^4y^5-10x^3y^6)/(-5x^2y^2)
• 120. Simplificar: (x²+11x+28)/(x+4)
• 121. Suma / resta de expresiones racionales (mismo denominador)
• 122. Resolver 4a/b+3a/(5b)
• 123. Suma de fracciones algebraicas (ejercicio EXHCOBA)
• 124. Simplificar (x-2)/4+(3x-2)/6
• 125. Multiplicación de expresiones racionales
• 126. División de expresiones racionales
• 127. Simplificar [1+1/(x+3)]/1/(x+3)

VII. Ecuaciones lineales

• 128. Concepto de ecuación
• 129. Identificar un elemento de una ecuación
• 130. Propiedades de igualdad (método de transposición)
• 131. Principio de resolver una ecuación de 1er grado (parte 1)
• 132. Principio de resolver una ecuación de 1er grado (parte 2)
• 133. Despejes de una variable
• 134. Ejercicio de despeje de una variable
• 135. Ejercicio de despejar una variable de un producto
• 136. Despejar X de: ax-a(a+ab)=-x-(1+a²b)
• 137. Despejar
• 138. Introducción a las ecuaciones de primer grado
• 139. Despeje de una raíz cúbica
• 140. Convertir grados Fahrenheit a Centígrados
• 141. Resolver ecuaciones de primer grado
• 142. Ecuaciones de primer grado con paréntesis
• 143. Resolver (x-4)/5=4/3
• 144. Ejercicio de resolver una ecuación lineal con parentesis
• 145. Resolver la ecuación 3x/2+2*raíz(5)/3=x/3+raíz(5)
• 146. Resolver ecuaciones lineales con fracciones (método cruzado)
• 147. Resolver ecuaciones lineales con fracciones (usando un múltipo)
• 148. Interpretación gráfica de la función lineal
• 149. Ejercicio de ecuación lineal racional (fracciones)
• 150. ¿En cuántos años la edad de un padre triplicará a la de su hijo?
• 151. Ejercicios de ecuaciones de 1er grado (geométria y vales de despensa)
• 152. Hallar la cantidad total de pastelitos: Ana, Beti y Carmen
• 153. Hallar número con diferencia 30 entre sus 5/4 y sus 7/8
• 154. La suma de 3 números consecutivos es 30
• 155. Hallar la gráfica, dada una ecuación lineal
• 156. Encontrar la expresión alebraica de un jardin rectangular
• 157. Plantear y resolver problemas que genere una ecuación de primer grado
• 158. Problemas que generan ecuaciones de 1er grado y ejercicios
• 159. Ecuación para obtener el salario de Pedro
• 160. Número de 2 cifras que se invierte al restar 9
• 161. Encontrar el número de naranjas iniciales (parte 1)
• 162. Encontrar el número de naranjas iniciales (parte 2)
• 163. Edad actual de Alfredo: 3(A-10)-A=A+5
• 164. Calcular calificación para exentar
• 165. Problema de basketball que genera una ecuación lineal
• 166. Plantear las ecuaciones lineales de un problema de CD´s
• 167. Años que tienen que pasar para tener la mitad de la edad
• 168. Conocer la edad José, dado que Pablo es una fracción de él

VIII. Ecuaciones simultáneas lineales 2x2

• 169. Introducción a las ecuaciones simultáneas lineales 2 x 2
• 170. Traducir un problema a un sistema 2x2 de plumas y lápices
• 171. Identificar el metodo utilizado en un sistema 2x2
• 172. Convertir un sistema lineal 2x2 de fracciones a enteros
• 173. Método de eliminación - parte #1 (sistemas 2x2)
• 174. Método de eliminación - parte #2 (sistemas 2x2)
• 175. Método de eliminación - parte #3 (sistemas 2x2)
• 176. Hallar las edades de un papá y su hija, dad su suma y diferencia
• 177. Método de sustitución (Sistemas lineales 2x2)
• 178. Hallar 2 números, bajo condiciones dadas
• 179. Ejercicio de un sistema 2x2, cantidad de boletos vendidos
• 180. Problema de un sistema 2x2, calorías en una hamburguesa
• 181. Ejercicio de un sistema 2x2, resolviendo por sustitución
• 182. Método de igualación (Sistemas lineales 2x2)
• 183. ¿Cuántos hermanos son? (sistema lineal 2x2)
• 184. Encontrar números (sistema lineal 2x2)
• 185. Ejercicio de un sistema 2x2 (método de reducción)
• 186. Método gráfico (sistemas lineales 2x2)
• 187. Método gráfico, caso: líneas paralelas (sistemas lineales 2x2)
• 188. Identificar la gráfica de un sistema 2x2
• 189. Ejercicio de encontrar la edad de Juan y Pedro (método gráfico)
• 190. Método de determinantes o Cramer (sistemas lineales 2x2)
• 191. Problemas que generan un sistema lineal 2x2
• 192. ¿Cuántas gallinas y puercos hay?
• 193. Hallar dos números que sumen 108 y que uno excede en 8 al otro

IX. Ecuaciones simultáneas lineales 3x3

• 194. Método de cramer en un sistemas 3x3 (determinantes)
• 195. Método de suma y resta (sistemas lineales 3x3)
• 196. Método de igualación (sistemas lineales 3x3)
• 197. Obtener un determinante de un sistema 3x3
• 198. Hallar un determinante de un sistema 3x3
• 199. Aplicación de los sistemas lineales 3x3

X. Ecuaciones cuadráticas

• 200. Tipos de ecuaciones cuadráticas (pura, mixta, completa)
• 201. Tipos de ecuaciones cuadráticas (segundo grado)
• 202. Ejercicio para anticipar el tipo de las raíces de una ecuación cuadrática
• 203. Discriminante de una ecuación cuadrática
• 204. Ejercicio para hallar el discriminante de una ecuación cuadrática
• 205. Número de intersecciones de una ecuación cuadrática (método corto)
• 206. Cantidad de soluciones de una ecuación cuadrática
• 207. ¿Por qué una ecuación cuadrática se iguala a cero?
• 208. Ecuaciones cuadráticas puras
• 209. Resolver -12g^2-4=-24-9g^2
• 210. Ecuación cuadrática mixta (versión nueva)
• 211. Ecuaciones cuadráticas mixtas (parte 2)
• 212. Ejercicio de resolver una ecuación cuadrática mixta por factorización
• 213. Ejercicio para resolver una ecuación cuadrática mixta
• 214. Ecuaciones cuadráticas COMPLETAS (intro)
• 215. Resolver la ecuación cuadrática x²+x-6=0
• 216. Ejercicio para identificar una ecuación cuadrática completa
• 217. Demostración de la fórmula general
• 218. Ejercicios resueltos por fórmula general (nuevo)
• 219. Ejercicio de sustituir valores en la formula general
• 220. Resolver: 5/x²-10/x+2=0
• 221. Resolver (p-2)(p-5)=3 │fórmula general
• 222. Factorizar siempre un trinomio ax^2+bx+c
• 223. Hallar la ecuación cuadrática, dadas sus raíces
• 224. Resolver la ecuación cuadrática -5x^2-5x+30=0
• 225. Radicalizar el resultado de una fórmula general
• 226. Resolver ecuaciones cuadráticas por factorización
• 227. Resolución por método de gráfico (ecuaciones cuadraticas)
• 228. Resolución de ecuaciones cuadráticas completando el CP
• 229. Número de intersecciones de una ecuación cuadrática (método largo)
• 230. Ejercicio de resolver una ecuación cuadrática por TCP
• 231. Aplicación de la función cuadrática
• 232. Ejercicio de resolver una cuadrática por completar el TCP
• 233. Problemas que generan ecuaciones cuadráticas
• 234. Obtener el valor de X, dada el área de un rectángulo
• 235. Hallar la gráfica del área de un rectángulo que genera una ecuación cuadrática
• 236. Problema de hallar un número que genera una ecuación cuadrática
• 237. Problema de un triángulo que genera una ecuación cuadrática
• 238. Ejercicio de una ecuación cuadrática que representa el área de un rectángulo
• 239. Ejercicio del área de un campo de fútbol que genera una ecuación cuadrática
• 240. Hallar x=2, si y=x^2-mx+(m-1) & y=0, tiene 1 solución
• 241. Resolver (2x-3)/(2x+5)+2x/(3x+1)=1
• 242. Ecuación cuadrática mixta (fracciones)
• 243. El producto de 2 números consecutivos es 600
• 244. Hallar lado de un cuadrado, para formar una caja con v=50cm³
• 245. Hallar el valor de una diagonal de un cuadrado, dado su lado

XI. Radicación

• 246. Simplificar: raíz cúbica de 5^(-12)
• 247. Radicación de números enteros
• 248. Radicación de expresiones radicales
• 249. Suma y resta de expresiones radicales
• 250. Simplificación de una expresión racional con raíces cubicas
• 251. Simplificación de una expresión con radical
• 252. Racionalización de una expresión (monomio en el denominador)
• 253. Racionalización del denominador (binomio / raíz cuadrada)
• 254. Simplificar (√12+5√3-√75)/(√8-√2)
• 255. Simplificar √ (9x²+18)

XII. Ecuaciones con radicales

• 256. Ecuaciones con raíz cuadrada (parte 1)
• 257. Hallar el valor de a-1/a

XIII. Inecuaciones (desigualdades)

• 258. Introducción a las desigualdades
• 259. Operaciones que no satisfacen una desigualdad
• 260. Si A mayor que B y B menor que C, entonces...
• 261. Resolver algebraicamente una desigualdad lineal con una constante (e1)
• 262. Resolver graficamente una desigualdad lineal con una constante (e1)
• 263. Resolver algebraicamente una desigualdad lineal con una constante (e2)
• 264. Resolver graficamente una desigualdad lineal con una constante (e2)
• 265. Resolver algebraicamente una desigualdad lineal racional (ejercicio 1)
• 266. Resolver algebraicamente una desigualdad lineal racional (ejercicio 2)
• 267. Inecuación: 7 menor (5x-8) menor 9
• 268. Inecuación: 9x-7 menor = 10+13x menor 4+15x
• 269. Inecuación: valor absoluto (2x-1) menor que 7
• 270. Inecuación 4/(5x-2) menor que 0
• 271. Inecuación 4/(5x-2) menor que 3
• 272. Desigualdad con los factores de un polinomio de grado 3
• 273. La inecuación del amor

XIV. 5 errores típicos en álgebra

• 274. 5 errores típicos en álgebra

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Número de intersecciones de una ecuación cuadrática (mét...

Número de intersecciones de una ecuación cuadrática (mét...

Simplificar: (x²+11x+28)/(x+4)...

Simplificar: (15x^4y^5-10x^3y^6)/(-5x^2y^2) ...

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Determinantes (sistemas lineales 3x3)

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Determinantes (sistemas lineales 3x3)

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