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Ipatiy [6.2K]
3 years ago
5

Find the value of c that completes the square

Mathematics
1 answer:
zmey [24]3 years ago
3 0

Answer:

c = \frac{49}{4}

Step-by-step explanation:

Given

x² + 7x + c

To complete the square

add ( half the coefficient of the x- term )² to x² + 7x

x² + 2(\frac{7}{2} )x + \frac{49}{4} , thus

= (x + \frac{7}{2} )² ← a perfect square

with c = \frac{49}{4}

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