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

Mathematics

1 answer:

kaheart [24]3 years ago

5 0

Answer:

(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

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