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Rus_ich [418]
3 years ago
13

In the function f(x) = 5(x2 − 4x + ____) + 15, what number belongs in the blank to complete the square?

Mathematics
2 answers:
Georgia [21]3 years ago
5 0
If you would like to find the number which belongs in the blank to complete the square, you can calculate this using the following steps:

f(x) = 5(x^2 - 4x + a) + 15
a ... the number = ?

<span>x^2 - 4x + a = (x - 2)^2 = x^2 - 4x + 4
</span>a = 4

The correct result would be 4.
gavmur [86]3 years ago
5 0

Hey there!

I took the test, and I can confirm that 4 is the CORRECT answer

xXxGolferGirlxXx

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The given equation is

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We add the additive inverse of 31 which is -31 to both sides of the equation to get,

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Simplify;

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