Question

Encotre a raises da
equação

x² + 3x - 10 =0
a 1
b=3
0=-10​

Answer 1

Sua questão:

x² + 3x - 10 =0

Resolução:

$\large\begin{array}{lr} \sf x^2 +3x-10=0\left\{\begin{array}{ll}\sf a=1\\\sf b=3\\\sf c=-10\end{array}\right. \end{array}$

$\large\begin{array}{lr} \sf \Delta =b^2 -4 *a*c\\\\\sf \Delta = 3^2 -4*1*(-10)\\\\\sf \Delta = 9 + 40\\\\\sf \underline{\boxed{\red{\sf \Delta =49}}} \end{array}$

$\large\begin{array}{lr} \sf \sf x= \dfrac{-b \pm \sqrt{\Delta} }{2*a}\\\\\sf x= \dfrac{-3 \pm \sqrt{49} }{2*1} \\\\ \sf x= \dfrac{ -3 \pm 7 }{2} \\\\ \sf x'= \dfrac{4}{2} = \underline{\boxed{\red{\sf x' = 2}}} \\\\ \sf x''= \dfrac{-10}{2} = \underline{\boxed{\red{\sf x'' = -5}}} \end{array}$

Espero ter ajudado.

Bons estudos.

• Att. FireClassis.