Question

x(x-2)=3(x+6)resposta

Answer 1

$x(x - 2) = 3(x + 6)$

${x}^{2} - 2x = 3x + 18$

${x}^{2} - 2x - 3x - 18 = 0$

${x}^{2} - 5x - 18 = 0$

$x = \dfrac{ - ( - 5) \pm \sqrt{( - 5 {)}^{2} - 4 \times 1 \times ( - 18) } }{2}$

$x = \frac{5\pm \sqrt{25 + 72} }{2}$

$x = \dfrac{5\pm \sqrt{97} }{2}$

$\boxed{\begin{array}{l}x = \dfrac{5 + \sqrt{97} }{2} \\ \\ x = \dfrac{5 - \sqrt{97} }{2} \end{array}}$