SOLUTION: 24-6x^2=0 -complete the square x^2-x-4=8 complete the square -3x^2=7x+2 complete the square

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Question 753885: 24-6x^2=0 -complete the square

x^2-x-4=8 complete the square
-3x^2=7x+2 complete the square

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
24-6x^2=0 -complete the square
since there is no x-term, can't complete the square.
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x^2-x-4=8 complete the square
Take 1/2 the coefficient of the x-term, then add its square. Add the same amt to other side of equation to maintain equality.
(x^2-x+1/4)=12+1/4 (add 1/4 to maintain equality)
(x-1/2)^2=49/4
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-3x^2=7x+2 complete the square
-3x^2-7x=2
-3(x^2-7x/3+49/36)=2-49/12 (add -3*49/36=-49/12 to maintain equality)
-3(x-7/6)^2=-25/12