Question

СРОЧНО. ОТДАЮ ВСЕ БАЛЛЫ
Решите уравнение x^2 - x / 6 = 2

Answer 1

Ответ:

1,5 и -1 1/3

Объяснение:

x² - x/6 = 2 |×6

6x² - 6*x/6 = 2*6

6x² - x =12

6x² - x - 12 = 0

D=(-1)²-4*6*(-12) = 1 + 288 = 289 = 17²

x1 = (-(-1)+17) / (2*6) = (1+17) / 12 =

= 18/12 = 3/2 = 1,5

x2 = (-(-1)-17) / (2*6) = (1-17) / 12 =

= -16/12 = -4/3 = -1 1/3

Answer 2

${x}^{2} - \frac{x}{6} = 2 \\ {6x}^{2} - x - 12 = 0 \\ {6x}^{2} + 8x - 9x - 12 = 0 \\ 2x(3x + 4) - 3(3x + 4) = 0 \\ (3x + 4)(2x - 3) = 0 \\ \\ 3x + 4 = 0 \\ 2x - 3 = 0 \\ \\ x = - \frac{4}{3} \\ x = \frac{3}{2} \\ \\ x = - 1 \frac{1}{3} \\ x = 1 \frac{1}{2}$