Question

Решите уравнение 60/х + 1/10 = 55/х-10

Answer 1

$\frac{60}{x}+\frac{1}{10}=\frac{55}{x}-10$

$\frac{1}{10}+\frac{60}{x}=\frac{55}{x}-10$

$\frac{x+600}{10x}=\frac{5(2x-11)}{x}$

$x(x+600)=-50x(2x-11)$

$x^2+600x=-50x(2x-11)$

$x^2+600x=550x-100x^2$

$101x^2+50x=0$

$x(101x+50)=0$

$101x+50=0$

$101x=-50$

$x= -\frac{50}{101}$