Question

quais sao as raizes para a equacao 2x2 menos x menos 6 igual 0

Answer 1

Explicação passo-a-passo:

$\sf 2x^2-x-6=0$

$\sf \Delta=(-1)^2-4\cdot2\cdot(-6)$

$\sf \Delta=1+48$

$\sf \Delta=49$

$\sf x=\dfrac{-(-1)\pm\sqrt{49}}{2\cdot2}=\dfrac{1\pm7}{4}$

$\sf x'=\dfrac{1+7}{4}~\rightarrow~x'=\dfrac{8}{4}~\rightarrow~x'=2$

$\sf x"=\dfrac{1-7}{4}~\rightarrow~x"=\dfrac{-6}{4}~\rightarrow~x"=\dfrac{-3}{2}$

As raízes são $\sf 2$ e $\sf \dfrac{-3}{2}$