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sergij07 [2.7K]
3 years ago
13

Find the value of c that completes the square

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

Answer:

c = \frac{1}{4}

Step-by-step explanation:

Given

x² - x + c

To complete the square

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

x² + 2(-\frac{1}{2} )x + \frac{1}{4}

= (x - \frac{1}{2} )² ← a perfect square

with c = \frac{1}{4}

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