решите уравнение:4/x-2 - 4/x=1

Question

решите уравнение:
4/x-2 - 4/x=1

Answer 1

4/(x-2) - 4/x = 1
4x - 4(x-2) = x(x-2)
4x - 4x + 8 = x2 - 2x
x2 -2x - 8 = 0
D = 4 + 32 = 36
x1 = (4+6)/2 = 5
x2 = (4-6)/2 = -1
Ответ: -1 ; 5