Question

помогите
$frac{x}{20 - x} = frac{1}{x}$

Answer 1

ОДЗ
x ≠ 0; x ≠ 20

20 - x = x^2
x^2 + x - 20 = 0
D = 1 + 4*20 = 81
x1 = ( - 1 + 9)/2 = 8/2 = 4
x2 = ( - 1  - 9)/2 = - 10/2 = - 5


ОТВЕТ
- 5; 4