Решить уравнение. 560/x - 560/x+10 = 1

[latex] \frac{560}{x}- \frac{560}{x+10}=1 [/latex] [latex] \frac{560x+5600-560x-x^2-10x}{x^2-10x} =0[/latex] [latex]5600-x^2-10x=0[/latex] [latex]x^2+10x-5600=0[/latex] [latex]D=100+22400=22500; \sqrt{D}=150 [/latex] [latex]x_1= \frac{-10+150}{2} =70[/latex] [latex]x_2= \frac{-10-150}{2}=-80 [/latex] Ответ: -80, 70