Question

СРОЧНО НУЖНО РЕШИТЬ УРАВНЕНИЕ!!! х+6/5+х +10/х²-25 = 3/2. /=дробь​

Answer 1

Ответ:

$\frac{x + 6}{5 + x} + \frac{10}{ {x}^{2} - 25} = \frac{3}{2} \\ \frac{(x - 5) \times (x + 6) + 10}{(x - 5) \times (5 + x)} = \frac{3}{2} \\ \frac{x {}^{2} + 5x - 4x - 20}{(x - 5) \times (5 + x) } = \frac{3}{2} \\ \frac{(x + 5) \times (x - 4)}{(x - 5) \times (5 + x)} = \frac{3}{2} \\ \frac{x - 4}{x - 5} = \frac{3}{2} \\ 2(x - 4) = 3(x - 5) \\ 2x - 8 = 3x - 15 \\ 2x - 3x = - 15 + 8 \\ - x = - 7 \\ x = 7$