Answer:
c = [tex]\frac{49}{4}[/tex]
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([tex]\frac{7}{2}[/tex] )x + [tex]\frac{49}{4}[/tex] , thus
= (x + [tex]\frac{7}{2}[/tex] )² ← a perfect square
with c = [tex]\frac{49}{4}[/tex]
