anonymous
  • anonymous
In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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mathstudent55
  • mathstudent55
Take half of the x-term coefficient and square it.
mathstudent55
  • mathstudent55
The x-term coefficient is -6. Take half of -6, and square it. What do you get?
anonymous
  • anonymous
Half of it so like -3?

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mathstudent55
  • mathstudent55
Yes. Now square it.
anonymous
  • anonymous
ok its -1.73
anonymous
  • anonymous
or well - 1.7
mathstudent55
  • mathstudent55
Not square root. Square it. \((-3)^2 = (-3)(-3) = 9\)
anonymous
  • anonymous
Oh square it XD
mathstudent55
  • mathstudent55
\(\sqrt 3 \approx 1.732\) <----- not this \((-3)^2 = 9\) <---- this is what you do
anonymous
  • anonymous
Ok understood!
mathstudent55
  • mathstudent55
The answer is 9. Just so you know, this method (take half of the x-term 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.
anonymous
  • anonymous
Thanks
mathstudent55
  • mathstudent55
You're welcome.

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