Question

resolva a equação
4x (x-1)-4=6-2.(2x-3)​

Answer 1

Explicação:

$4x(x - 1) - 4 = 6 - 2 \times (2x - 3)$

${4x}^{2} - 4x - 4 = 6 - 2(2x - 3)$

${4x}^{2} - 4x - 4 = 6 - 4x + 6$

${4x}^{2} - 4 = 6 + 6$

${4x}^{2} - 4 = 12$

${4x}^{2} - 4 - 12 = 0$

${4x}^{2} - 16 = 0$

${x}^{2} - 4 = 0$

$x = \frac{ - 0± \sqrt{ {0}^{2} - 4 \times 1 \times ( - 4) } }{2 \times 1}$

$x = \frac{± \sqrt{ {0}^{2} - 4 \times 1 \times ( - 4)} }{2 \times 1}$

$x = \frac{± \sqrt{ {0}^{2} - 4 \times ( - 4)} }{2 \times 1}$

$x = \frac{± \sqrt{ {0}^{2} - 4 \times ( - 4)} }{2}$

$x = \frac{± \sqrt{0 - 4 \times ( - 4)} }{2}$

$x = \frac{± \sqrt{0 + 16} }{2}$

$x = \frac{± \sqrt{16} }{2}$

$x = \frac{±4}{2}$

$x = \frac{4}{2} \\ x = \frac{ - 4}{2}$

$x = 2 \\ x = - 2$

$x_{1} = - 2 \\ x_{2} = 2$