Question

Срочно 2/x-5 - 4/x+5 = 3/x^2-25

Answer 1

$\frac{2}{x - 5} - \frac{4}{x + 5} = \frac{3}{ {x}^{2} - 25 } \\ \frac{2(x + 5)}{(x - 5)(x + 5)} - \frac{4(x - 5)}{(x + 5)(x - 5)} - \frac{3}{(x - 5)(x + 5)} = 0 \\ \frac{2x + 10-4x + 20 - 3 }{(x - 5)(x + 5)} = 0 \\ \frac{ - 2x + 27}{(x - 5)(x + 5)} = 0 \\ - 2x + 27 = 0 \\ - 2x = - 27 \\ x = - 27 \div ( - 2) \\ x = 13.5$
ОДЗ.
$(x - 5)(x + 5) = 0 \\ x = 5 \\ x = - 5$
Ответ. 13.5