Question

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

Answer 1

@namffohnede to find the number that goes in the blank, divide the b value by 2 then square it.

Answer 2

@Hero can you elaborate on that?

Answer 3

For a quadratic expression \(a^2 + bx + c\) to be a perfect square, \(c\) must equal \(\left( \dfrac{b}{2}\right)^2\).

Answer 4

What is the \(b\) value in this case @namffohnede

Answer 5

um...

Answer 6

@Hero i really don't know

Answer 7

The quadratic expression is the expression in parentheses. The \(c\) value is the value that goes in the blank.

Answer 8

@Hero so would the answer be 9? since that's (6/2)^2

Answer 9

Yes, \(c = 9\). Thanks for figuring it out finally.

Answer 10

@hero Sorry for taking so long, but thank you so much for the help!

Answer 11

You're welcome