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

Question

asked May 10, 2021 112k views

1 Answer

Chaliasos · Answer 1 · 2021-05-17T07:55:20+0000

Answer:

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