Question

Given that x square + 5 x + c is a perfect square find the value of C ​

Answer 1

c =
`(25)/(4)`

Explanation:

To make a perfect square

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

x² + 5x + (
`(5)/(2)` )²

= x² + 5x +
`(25)/(4)`

= (x +
`(5)/(2)` )² ← a perfect square