Question

determina el conjunto solucion de la siguiente ecuacion: 2 sobre x+2 = x-4 sobre 8

Answer 1

Resolver.

$\frac{2}{x+2} = \frac{x-4}{8}$

$2*8 = (x - 4)(x + 2)$

$16 = x^{2} - 2x + 4x + 8$

$16 = x^{2} - 2x + 8$

$16 - x^{2} - 2x + 8 = 0$

$16 + 8 - x^{2} - 2x = 0$

$24 - x^{2} - 2x = 0$

$- x^{2} -2 x + 24 = 0$

$- x$               $+6$


$+ x$              $-4$

$(-x + 6) (x - 4) = 0$

Tenemos dos soluciones.

$-x + 6 = 0$

$- x = - 6$

$x = - 6(-)$

$x = 6$

$===============================$

$x - 4 = 0$

$x = 4$

Sol: (6 y 4).