Question

observe a equação x^2+3x-10=0.
calcule as raízes usando a fórmula de bháskara.

Answer 1

Resolução da questão pela fórmula de Bhaskara, veja:

$x^{2}+3x-10=0\\\\\\\\\\\ x = -b~\pm~\dfrac{ \sqrt{b^{2}-4~.~a~.~c}}{2~.~a}}\\\\\\ x = -3~\pm~\dfrac{ \sqrt{3^{2}-4~.~1~.~(-10)}}{2~.~1}}\\\\\\\\ x = -3~\pm~\dfrac{ \sqrt{9+40}}{2}}\\\\\\\ x = -3~\pm~\dfrac{ \sqrt{49}}{2}}\\\\\\\\ x = -3~\pm~\dfrac{7}{2}}\\\\\\\\\\ x' = \dfrac{-3+7}{2}}\\\\\\\\ x ' = \dfrac{4}{2}~\therefore~ \large\boxed{\boxed{\boxed{x' = 2.}}}}}\\\\\\\\\\ x'' = \dfrac{-3-7}{2}}\\\\\\\\ x'' = \dfrac{-10}{2}}~\therefore~ \large\boxed{\boxed{\boxed{x'' = -5.}}}}}$

Espero que te ajude :)