In the function f(x) = 5(x2 − 4x + ____) + 15, what number belongs in the blank to complete the square? Numerical Answers Expect
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2 answers:
The number needed to complete the square is simply 4.
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Answer:
4
Step-by-step explanation:
Given function is :
f(x) = 5(x² - 4x + _) + 15
We need to fill the gap.
In order to make complete the square, we will use the completing the square method.
Here we take the coefficient of x
that is -4
take half of -4 = -2
Now square the -2 = (-2)² = 4
add and subtract the 4
So, 4 belongs in the blank to complete the square.
That's the final answer.
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