anonymous
  • anonymous
3g^2 - 12g = - 4 which number will complete the square? a. 12 b. -4 c. 4 d. 36
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
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.
anonymous
  • anonymous
Then, consider what would have to be added to the right side to keep both sides equal.
anonymous
  • anonymous
4?

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anonymous
  • anonymous
anonymous
  • anonymous
Right, adding 4 inside the parentheses on the left yields \(\large 3(g^2-4g+4)=-4 + ?\)
anonymous
  • anonymous
so 4 completes the square then?
anonymous
  • anonymous
47
anonymous
  • anonymous
47?
anonymous
  • anonymous
What happens when you distribute that 3 back into those parentheses on the left?
anonymous
  • anonymous
3g^2-12g+12
anonymous
  • anonymous
Right, so you actually added 12 to both sides to complete the square. \(\large 3g^2−12g+12)=−4+12\). See?
anonymous
  • anonymous
oh got it thanks!

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