Answer:
(x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
Given
x² + 5x
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 5x
= x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex] - [tex]\frac{25}{4}[/tex]
= (x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]
