Question

Rewrite the equation by completing the square.
x^2-2x+1=0​

Answer 1

(x - 1)² = 0

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