Question

Quero saber a solução de 5x2+6=31x

Answer 1

$5x^2+6=31x\\5x^2-31x+6=0\\\\\Delta=(-31)^2-4 \cdot 5 \cdot 6\\\Delta = 961-4 \cdot 30\\\Delta = 961-120\\\Delta = 841\\\\x=\dfrac{-(-31)\pm\sqrt{841}}{2 \cdot 5} = \dfrac{31\pm29}{10}\\\\x_1=\dfrac{31+29}{10} = \dfrac{60}{10} = 6\\\\x_1=\dfrac{31-29}{10}=\dfrac{2}{10} = \dfrac{1}{5}\\\\\boxed{\boxed{S=\left\{\dfrac{1}{5},6\right\}}}}}$