Question

Qual a resposta da equação de 2°grau 5X²+3/4-17-X²/2=8

Answer 1

$5x^2 + \dfrac{3}{4} - 17 - \dfrac{x^2}{2} = 8 \\ \\ \\ 5x^2 + \dfrac{3}{4} - \dfrac{x^2 + 34}{2} = 8 \\ \\ \\ 5x^2 - \dfrac{2x^2 + 65}{4} = 8 \\ \\ \\ \dfrac{18x^2 - 65}{4} = 8 \\ \\ \\ \dfrac{18x^2 - 97}{4} = 0 \\ \\ \\ => 18x^2 - 97 = 0$

====

$18x^2 - 97 = 0 \\ \\ \\ 18x^2 = 97 \\ \\ \\ x^2 = \dfrac{97}{18} \\ \\ \\ x = \pm \ \sqrt{\dfrac{97}{18}}$

$x = \pm \dfrac{ \sqrt{97} * \sqrt{18} }{ \sqrt{18} * \sqrt{18} } \\ \\ \\ x = \pm \dfrac{ \sqrt{97} * \sqrt{2} * 3 }{ 18 } \\ \\ \\ => x = \pm \ \dfrac{194}{6}$


S = {$\dfrac{194}{6} , \ - \dfrac{194}{6}$ }