Question

5 дробь x-1 + 10 дробь x+1=5

Answer 1

$\frac{5}{x - 1} + \frac{10}{x + 1} = 5$

ОДЗ: Х =/ - 1 ; 1

$5(x + 1) + 10( x - 1) = 5(x - 1)( x+ 1) \\ 5x + 5 + 10x - 10 = 5 {x}^{2} - 5 \\ 5 {x}^{2} - 15x = 0 \\ 5x(x - 3) = 0 \\ \\ x_{1} = 0 \\ x_{2} = 3$


ОТВЕТ: 0 ; 3