Question

Resolva As Equações
×2-×-6=0

Answer 1

$\large\boxed{\begin{array}{l} \tt x {}^{2} - x - 6 = 0 \\ \begin{cases} \tt a = 1 \\ \tt b = - 1 \\ \tt c = - 6\end{cases} \\ \tt \Delta = b {}^{2} - 4 \cdot{a} \cdot{c} \\ \tt\Delta = ( - 1) {}^{2} - 4 \cdot1 \cdot( - 6) \\ \tt\Delta = 1 + 24 \\ \tt\Delta = 25 \\ \tt x = \dfrac{ - b \pm \sqrt{\Delta} }{2 \cdot{a}} \\ \\ \tt x = \dfrac{ - ( - 1) \pm \sqrt{25} }{2 \cdot1} \\ \\ \tt x = \dfrac{1 \pm5}{2} \begin{cases} \tt x _{1} = \dfrac{1 + 5}{2} = \dfrac{6}{2} = 3 \\ \\ \tt x _{2} = \dfrac{1 - 5}{2} = \dfrac{ - 4}{2} = - 2 \end{cases}\end{array}}$