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