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Mama L [17]
3 years ago
9

How do I solve this question?

Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0

Answer:

p = \frac{3}{2} , 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(\frac{3}{2} )x + \frac{9}{4} - \frac{9}{4} )

= 4(x + \frac{3}{2} )² - 4 × \frac{9}{4}

= 4(x + \frac{3}{2} )² - 9

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