Question

Complete the square for x^2+5x

Answer 1

(x +
`(5)/(2)` )² -
`(25)/(4)`

Explanation:

Given

x² + 5x

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 5x

= x² + 2(
`(5)/(2)` )x +
`(25)/(4)` -
`(25)/(4)`

= (x +
`(5)/(2)` )² -
`(25)/(4)`