Question

Find the value of c that completes the square

Answer 1

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 = $\frac{49}{4}$