Question

How do I solve this question?

Answer 1

p =
`(3)/(2)` , q = 9

Explanation:

4x² + 12x ( factor out 4 from each term )

= 4(x² + 3x)

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 3x

= 4(x² + 2(
`(3)/(2)` )x +
`(9)/(4)` -
`(9)/(4)` )

= 4(x +
`(3)/(2)` )² - 4 ×
`(9)/(4)`

= 4(x +
`(3)/(2)` )² - 9