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

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Take half of the xterm coefficient and square it.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The xterm coefficient is 6. Take half of 6, and square it. What do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Half of it so like 3?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Yes. Now square it.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Not square root. Square it. \((3)^2 = (3)(3) = 9\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\(\sqrt 3 \approx 1.732\) < not this \((3)^2 = 9\) < this is what you do

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The answer is 9. Just so you know, this method (take half of the xterm coefficient and square it) works for completing the square, but it only works when the coefficient of the x^2 term is 1. In your case, you do have x^2  6x, so you see that the coefficient of the x^2 term is 1.
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