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kenneyfamily Group Title

3g^2 - 12g = - 4 which number will complete the square? a. 12 b. -4 c. 4 d. 36

  • 2 years ago
  • 2 years ago

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  1. CliffSedge Group Title
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    if you factor out the 3 on the left, you'll get \(\large 3(g^2-4g)=-4\) Then to complete the square, add the square of half the coefficient of g.

    • 2 years ago
  2. CliffSedge Group Title
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    Then, consider what would have to be added to the right side to keep both sides equal.

    • 2 years ago
  3. kenneyfamily Group Title
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    4?

    • 2 years ago
  4. kenneyfamily Group Title
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    @CliffSedge

    • 2 years ago
  5. CliffSedge Group Title
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    Right, adding 4 inside the parentheses on the left yields \(\large 3(g^2-4g+4)=-4 + ?\)

    • 2 years ago
  6. kenneyfamily Group Title
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    so 4 completes the square then?

    • 2 years ago
  7. smartboy23 Group Title
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    47

    • 2 years ago
  8. kenneyfamily Group Title
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    47?

    • 2 years ago
  9. CliffSedge Group Title
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    What happens when you distribute that 3 back into those parentheses on the left?

    • 2 years ago
  10. kenneyfamily Group Title
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    3g^2-12g+12

    • 2 years ago
  11. CliffSedge Group Title
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    Right, so you actually added 12 to both sides to complete the square. \(\large 3g^2−12g+12)=−4+12\). See?

    • 2 years ago
  12. kenneyfamily Group Title
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    oh got it thanks!

    • 2 years ago
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