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In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?
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3 votes
In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

asked
User Crystel
by
8.4k points

2 Answers

4 votes

Answer:

9

Explanation:

answered
User Amador
by
8.5k points
2 votes
f(x) = 4(x² - 6x + ___) + 20

completing the square.

a² + 2ab + b²

a² = x² = x * x
2ab = -6x = 2*x* -3
b² = -3² = 9

f(x) = 4(x² - 6x + 9) + 20
f(x) = 4x² - 24x + 36 + 20
f(x) = 4x² - 24x + 56
answered
User Kasinath Kottukkal
by
8.1k points
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