Question

Решите уравнение $frac{27}{x} - frac{20}{x-3} = frac{1}{6}$

Answer 1

$frac{27}{x}- frac{20}{x-3} = frac{1}{6} \ \ frac{27x-81-20x }{x^2-3x} = frac{1}{6} \ \ x^2-3x = 6*(7x-81) \ x^2-45x+486 = 0 \ D = 45^2-4*486 = 81 \ x_1=27 \ x_2=18$