Question

Решить уравнение. х/х+2 - 6/х-2 + 24/х^2-4 = 0

Answer 1

Ответ:

$\frac{x}{x + 2} - \frac{6}{x - 2} + \frac{24}{ {x}^{2} - 4} = 0 \\ \frac{x(x - 2) - 6(x + 2) + 24}{ {x}^{2} - 4} = 0 \\ \frac{ {x}^{2} - 2x - 6x - 12 + 24}{ {x}^{2} - 4} = 0 \\ {x}^{2} - 8x + 12 = 0 \\ d = 64 - 48 = 16 \\ x1 = \frac{8 + 4}{2} = 6 \\ x2 = \frac{8 - 4}{2} = 2 \\ x < > 2$

ответ 6