Question

Find the value of c that completes the square

x^2-x+c

Please help me with how to do this, and show me. Thank you.

Answer 1

c =
`(1)/(4)`

Explanation:

Given

x² - x + c

To complete the square

add ( half the coefficient of the x- term )² to x² - x

x² + 2(-
`(1)/(2)` )x +
`(1)/(4)`

= (x -
`(1)/(2)` )² ← a perfect square

with c =
`(1)/(4)`