Answer:
[tex]\frac{49}{4}[/tex]
Step-by-step explanation:
Given
x² + 7x
To complete the square
add ( half the coefficient of the x- term )²
x² + 2( [tex]\frac{7}{2}[/tex] )x + ([tex]\frac{7}{2}[/tex] )²
= x² + 7x + [tex]\frac{49}{4}[/tex]
= (x + [tex]\frac{7}{2}[/tex] )² ← perfect square
