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3 years ago

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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