Question

dada a equação 2x ao quadrado - x - 6 =0 ,a raiz é?

Answer 1

$2 x^{2}-x-6=0$

Δ = $(-1)^{2} -4*2(-6)$

Δ = $(-1)^{2} + 48$

Δ = $1+48$

Δ = $49$

$x_{1,2} = \frac{1\± \sqrt{49} }{2*2}$

$x_{1,2} = \frac{1\±7}{2*2}$

$x' = \frac{1+7}{2*2}$

$x' = \frac{8}{4}$

$x' = 2$

$x'' = \frac{1-7}{2*2}$

$x'' = \frac{-6}{4}$ ⇒ Simplificar por 2

$x'' = - \frac{3}{2}$