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swiftskier96 Group Title

Check my answer? 17. What value completes the square for the expression? x² – 12x (1 point) –6 6 36 –36 <---- My answer

  • one year ago
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  1. whpalmer4 Group Title
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    If you've successfully completed the square, you should be able to write \[(x+a)(x+a) = x^2 + 2ax + a^2\] and have that equal your new equation, for some value of a. Is there a value of a that works?

    • one year ago
  2. phi Group Title
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    the rule is (b/2)^2 where b is the coefficient on x when you square b it will always be positive

    • one year ago
  3. phi Group Title
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    the point is that the value you add to complete the square is always positive, so it can't be -36

    • one year ago
  4. swiftskier96 Group Title
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    So for the value of a, do i just make up a number or is there a certain number? Cause my thinking is that x has to be either 6 or 36. @whpalmer4

    • one year ago
  5. phi Group Title
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    the number you want is (b/2)^2 where b is the number in front of the x in this case, b = -12

    • one year ago
  6. swiftskier96 Group Title
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    36. The answer is 36. Thanks! :)

    • one year ago
  7. phi Group Title
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    yes, if you add +36 you get x^2 -12x +36 we can factor this to get (x-6)(x-6) which is (x-6)^2 a perfect square

    • one year ago
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