SOLUTION: 4(x+9)^2=24

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Question 729183: 4(x+9)^2=24
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
4%28x%2B9%29%5E2=24+ divide both sides by 4
%28x%2B9%29%5E2=6
x%5E2%2B18x%2B81=6 subract 6 from each side of the equal side
x%5E2%2B18x%2B75=0
now you can use the quadratic formula to solve for x
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-18+%2B-+sqrt%28+18%5E2-4%2A1%2A75+%29%29%2F%282%2A1%29+
x+=+%28-18+%2B-+sqrt%28+324-300+%29%29%2F%282%29+
x+=+%28-18+%2B-+sqrt%28+24+%29%29%2F%282%29+ simplify sqrt(24)
x+=+%28-18+%2B-+2sqrt%28+6+%29%29%2F%282%29+ divide everything by 2
x+=+%28-9+%2B-+sqrt%28+6+%29%29+