Question

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

Answer 1

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

 

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

 

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

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

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

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

$101x^2+50x=0$

$x(101x+50)=0$

$101x+50=0$

$101x=-50$

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