Question

Achar as raízes das equações:
Determine as raizes da equação 2x² + 3x - 5-0​

Answer 1

Explicação passo-a-passo:

$\sf 2x^2+3x-5=0$

$\sf \Delta=3^2-4\cdot2\cdot(-5)$

$\sf \Delta=9+40$

$\sf \Delta=49$

$\sf x=\dfrac{-3\pm\sqrt{49}}{2\cdot2}=\dfrac{-3\pm7}{4}$

$\sf x'=\dfrac{-3+7}{4}~\Rightarrow~x'=\dfrac{4}{4}~\Rightarrow~\red{x'=1}$

$\sf x"=\dfrac{-3-7}{4}~\Rightarrow~x"=\dfrac{-10}{4}~\Rightarrow~\red{x"=\dfrac{-5}{2}}$