Question

Решить уравнение:27/х^2+3х-2/х=3/х^2-3х

Answer 1

ОДЗ
x ≠ - 3;  x ≠ 0; x ≠ 3

27(x - 3) - 2(x - 3)(x + 3) - 3(x + 3) = 0
27x - 81 - 2(x^2 - 9) - 3x - 9 = 0
27x - 81 - 2x^2 + 18 - 3x - 9 = 0
- 2x^2 + 24x  - 72 = 0    /:(-2)
x^2 - 12x + 36 = 0
(x - 6)^2 = 0
x = 6