3x^2/X-1=5x-2/x-1 решите уравнение

Question

3x^2/X-1=5x-2/x-1 решите уравнение

Answer 1

3x^2( x - 1) = (x - 1)(5x - 2)
3x^3 - 3x^2 = 5x^2 - 7x + 2
3x^3 - 3x^2 - 5x^2 + 7x - 2 = 0
3x^3 - 8x^2 + 7x - 2 = 0
(x - 1)(x - 1)(3x - 2) = 0
x - 1 = 0
x = 1
x - 1 = 0
x = 1
3x - 2 = 0
3x = 2
x = 2/3