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

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01-06-2016
Mathematics

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

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meerkat18 meerkat18 · Answer 1 · 2016-06-08T16:44:00+02:00

meerkat18 meerkat18

08-06-2016

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

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jvkvmj jvkvmj · Answer 2 · 2021-06-15T15:43:31+02:00

jvkvmj jvkvmj

15-06-2021

Answer:

9

Step-by-step explanation:

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