Question

Equação do 2 grau delta é baskara

${x }^{2} - x - 12 = 0$

Answer 1

${x}^{2} - x - 12 = 0 \\ a = 1 \: b = - 1 \: c = - 12 \\ \\ d = {b}^{2} - 4ac \\ d = {( - 1)}^{2} - 4 \times 1 \times ( - 12) \\ d = 1 + 48\\ d = 49 \\ \sqrt{d} = 7 \\ \\ x1 = \frac{ - b + \sqrt{d} }{2a} = \frac{1 + 7}{2 \times 1} = \frac{8}{2} = 4 \\ \\ x2 = \frac{ - b - \sqrt{d} }{2a} = \frac{1 - 7}{2 \times 1} = \frac{ - 6}{2} = - 3 \\ \\ s = (4 - 3)$