Question

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

Answer 1

The number needed to complete the square is simply 4. 
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Answer 2

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.