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kenneyfamily

  • 2 years ago

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

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

  3. kenneyfamily
    • 2 years ago
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    4?

  4. kenneyfamily
    • 2 years ago
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    @CliffSedge

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

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

  7. smartboy23
    • 2 years ago
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    47

  8. kenneyfamily
    • 2 years ago
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    47?

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

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

  11. CliffSedge
    • 2 years ago
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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?

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

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