Question

решить уравнение 5/x+3/x-6=2/3

Answer 1

$frac{5}{x} + frac{3}{x-6}= frac{2}{3} \ frac{5(x-6)+3x}{x(x-6)}= frac{2}{3} \ frac{5x-30+3x}{x(x-6)}= frac{2}{3} \ frac{8x-30}{x(x-6)}= frac{2}{3} \ \ 2x(x-6)=3*2(4x-15) \ x(x-6)=3(4x-15) \ x^2-6x-12x+45=0 \ x^2-18x+45=0 \ (x-15)(x-3)=0 \ x_1=15 \ x_2=3$