Expanding the left side of the equation:
(x-1)(x-1)x^2 - x - x + 1x^2 - 2x + 1
Setting it equal to 0:
x^2 - 2x + 1 = 0
Now we can solve for x using the quadratic formula:
x = [2 ± sqrt((-2)^2 - 4(1)(1))] / 2(1)x = [2 ± sqrt(4 - 4)] / 2x = [2 ± sqrt(0)] / 2x = [2 ± 0] / 2x = 1
Therefore, the solution to the equation (x-1)^2 = 0 is x = 1.
Expanding the left side of the equation:
(x-1)(x-1)
x^2 - x - x + 1
x^2 - 2x + 1
Setting it equal to 0:
x^2 - 2x + 1 = 0
Now we can solve for x using the quadratic formula:
x = [2 ± sqrt((-2)^2 - 4(1)(1))] / 2(1)
x = [2 ± sqrt(4 - 4)] / 2
x = [2 ± sqrt(0)] / 2
x = [2 ± 0] / 2
x = 1
Therefore, the solution to the equation (x-1)^2 = 0 is x = 1.