(x-1)в кубе + (x-2)в кубе = 2x - 3

Question

(x-1)в кубе + (x-2)в кубе = 2x - 3

Answer 1

(x-1)³+(x-2)³=2x-3
x³-3x²+3x-1+x³-6x²+12x-8-2x+3=0
2x³-9x²+13x-6=0
x₁=1
2x³-9x²+13x-6   |_x-1_
2x³-2x²               | 2x²-7x+6
---------
      -7x²+13x
      -7x²+7x
      -----------
                6x-6
                6x-6
                ------
                       0
2x²-7x+6=0   D=1
x₂=2     x₃=1,5
Ответ:  x₁=1       x₂=2       x₃=1,5.