Rewrite the equation by completing the square.

x^2-2x+1=0

(x - 1) ² = 0

Step-by-step explanation:

Given

x² - 2x + 1 = 0 (subtract 1 from both sides)

x² - 2x = - 1

To complete the square

add (half the coefficient of the x - term) ² to both sides

x² + 2 ( - 1) x + 1 = - 1 + 1

(x - 1) ² = 0