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How do I solve this question?

How Do I Solve This Question class=

Sagot :

Answer:

p = [tex]\frac{3}{2}[/tex] , q = 9

Step-by-step 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([tex]\frac{3}{2}[/tex] )x + [tex]\frac{9}{4}[/tex] - [tex]\frac{9}{4}[/tex] )

= 4(x + [tex]\frac{3}{2}[/tex] )² - 4 × [tex]\frac{9}{4}[/tex]

= 4(x + [tex]\frac{3}{2}[/tex] )² - 9

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