Question

Considere a equação x² – x – 6 = 0. Identifique os coeficientes a, b e c dessa equação. a = – 1, b = – 6 e c = – 1 a = 1, b = 1 e c = 6 a = – 1, b = 1 e c = 6 a = 1, b = – 1 e c = – 6 a = 1, b = – 1 e c = 6

Answer 1

Resposta:

$x^2- x - 6 = 0\\\\x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \left(-6\right)}}{2\cdot \:1}\\\\x_{1,\:2}=\frac{-\left(-1\right)\pm \:5}{2\cdot \:1}\\\\x_1=\frac{-\left(-1\right)+5}{2\cdot \:1},\:x_2=\frac{-\left(-1\right)-5}{2\cdot \:1}\\\\\frac{-\left(-1\right)+5}{2\cdot \:1}\\\\=\frac{1+5}{2\cdot \:1}\\\\=\frac{6}{2\cdot \:1}\\\\=\frac{6}{2}\\\\=3\\\\\frac{-\left(-1\right)-5}{2\cdot \:1}\\\\=\frac{1-5}{2\cdot \:1}\\=\frac{1-5}{2\cdot \:1}\\x= 3, x=-2$

Agora é só observar os cálculos e fazer!