Question

Решите уравнение:(9класс)
x^2-4/3-5x-2/6=1
$\frac{ {x}^{2} - 4 }{3} - \frac{ 5x - 2}{6} = 1$

Answer 1

$\frac{ {x}^{2} - 4}{3} - \frac{5x - 2}{6} = 1 \\ 2 {x}^{2} - 8 - 5x + 2 = 6 \\ 2 {x}^{2} - 5x - 12 = 0 \\ d = 25 + 4 \times 12 \times 2 = 121 = {11}^{2} \\ x = \frac{5 + 11}{4} = 4 \\ x = \frac{5 - 11}{4} = - \frac{3}{2} = - 1.5$