Question

I need your answer! ​

Answer 1

`(x-1) ^ { 3 } -(x-2) ^ { 2 } =1`

`x^(3)-3x^(2)+3x-1-\left(x-2\right)^(2)=1`

`x^(3)-3x^(2)+3x-1-\left(x^(2)-4x+4\right)=1`

`x^(3)-3x^(2)+3x-1-x^(2)+4x-4=1`

`x^(3)-4x^(2)+7x-1-4=1`

`x^(3)-4x^(2)+7x-5=1`

`x^(3)-4x^(2)+7x-5-1=0`

`x^(3)-4x^(2)+7x-6=0`

`±6,±3,±2,±1`