Answer:
c = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
x² - x + c
To complete the square
add ( half the coefficient of the x- term )² to x² - x
x² + 2(-[tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex]
= (x - [tex]\frac{1}{2}[/tex] )² ← a perfect square
with c = [tex]\frac{1}{4}[/tex]
