Question

X²-5x
Complete the square.

Answer 1

x² - 5x +
`(25)/(4)`

Explanation:

Given

x² - 5x

To complete the square

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

x² + 2( -
`(5)/(2)`)x + (-
`(5)/(2)`)²

= x² - 5x +
`(25)/(4)`

= (x -
`(5)/(2)`)² +
`(25)/(4)`