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20 votes
Rewrite the equation by completing the square.

Rewrite the equation by completing the square.-example-1
User SariDon
by
2.5k points

1 Answer

4 votes
4 votes

Answer:

4(x -
(1)/(2) )² = 0

Explanation:

Given

4x² - 4x + 1 = 0 ( factor out 4 from the first 2 terms )

4(x² - x) + 1 = 0

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - x

4(x² + 2(-
(1)/(2) )x +
(1)/(4) -
(1)/(4) ) + 1 = 0

4(x -
(1)/(2) )² - 1 + 1 = 0

4(x -
(1)/(2) )² = 0

User Ajay A
by
2.8k points