Question

menos X ao quadrado menos x mais 6 é igual a zero

Answer 1

A sua questão é essa:

    $-x^2 -x + 6 = 0 \\ ax^2 + bx + c = 0 \\\\ a = -1\\ b = -1\\ c = 6\\\\\\ \Delta = b^2-4ac\\\\ \Delta = (-1)^2 -4\cdot (-1) \cdot 6\\\\ \Delta = 1 + 24\\\\ \Delta = 25\\\\\\ x_1 = \frac{-b\pm\sqrt{\Delta}}{2a} \\\\ x_1 = \frac{1\pm\sqrt{25}}{-2} \\\\ x_1 = \frac{1+5}{-2} \qquad \qquad \qquad x_2 = \frac{1-5}{-2}\\\\ x_1 = \frac{6}{-2} \qquad \qquad \qquad ~ x_2 = \frac{-4}{-2} \\\\ x_1 = -3 \qquad \qquad \qquad ~ x_2 = 2$