Question

помогите решить уравнение
50/50-x - 50/x =5/6

Answer 1

$frac{50}{50-x} - frac{50}{x} =frac{5}{6} \ frac{50x-50(50-x)}{x(50-x)} = frac{5}{6} \ frac{50x-2500+50x}{x(50-x)} = frac{5}{6} \ frac{100x-2500}{x(50-x)} = frac{5}{6} \ 6(100x-2500)=5x(50-x)$
$600x-15000=250x-5x^2 \ 120x-3000=50x-x^2 \ x^2+70x-3000=0 \ D=4900+12000=16900 \ x_1= frac{-70+130}{2} =30 \ x_2= frac{-70-130}{2} =100$
Ответ: 30 и 100