Question

Usando o método de completar quadrado responda; 2x² - 8x - 24 =0​

Answer 1

Resposta:

$2 {x}^{2} - 8x - 24 = 0 \\ \\ {x}^{2} - 4x - 12 = 0 \\ \\ {x}^{2} - 4x + ( \frac{ - 4}{2})^{2} = ( \frac{ - 4}{2})^{2} + 12 \\ \\ {x}^{2} - 4x + 4 = 16 \\ \\ (x - 2)^{2} = 16 \\ \\ x - 2 = + - \sqrt{ 16} \\ \\ x1 = 4 + 2 = 6 \\ \\ x2 = - 4 + 2 = - 2$