Question

Resuelve:
1.x²+x-6=0​

Answer 1

Respuesta:

Explicación paso a paso:

x²+ x -6 = 0​

(x^2 + x ) -6 =

[ x^2 + 2 * 1/2*x + (1/2)^2 - (1/2)^2 ] -6 =

[ x^2 + 2 * 1/2*x + (1/2)^2 - 1/4]  -6 =

[ x^2 + 2 * 1/2*x + (1/2)^2 ] -1/4 - 6 =

(x + 1/2)^2 -1/4 - 24/4 =

(x + 1/2)^2  -25/4 =

(x + 1/2)^2 = 25/4

(x + 1/2) = + - sqr(25/4) = + - 5/2

x = 1/2 + - 5/2

x1 = 1/2 + 5/2 = 6/2 = 3        ;    x2= 1/2 - 5/2 = -4/2 = -2