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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?

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  1. mathstudent55
    • one year ago
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    Take half of the x-term coefficient and square it.

  2. mathstudent55
    • one year ago
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    The x-term coefficient is -6. Take half of -6, and square it. What do you get?

  3. anonymous
    • one year ago
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    Half of it so like -3?

  4. mathstudent55
    • one year ago
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    Yes. Now square it.

  5. anonymous
    • one year ago
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    ok its -1.73

  6. anonymous
    • one year ago
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    or well - 1.7

  7. mathstudent55
    • one year ago
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    Not square root. Square it. \((-3)^2 = (-3)(-3) = 9\)

  8. anonymous
    • one year ago
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    Oh square it XD

  9. mathstudent55
    • one year ago
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    \(\sqrt 3 \approx 1.732\) <----- not this \((-3)^2 = 9\) <---- this is what you do

  10. anonymous
    • one year ago
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    Ok understood!

  11. mathstudent55
    • one year ago
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    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.

  12. anonymous
    • one year ago
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    Thanks

  13. mathstudent55
    • one year ago
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    You're welcome.

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