SOLUTION: complete the square 9x=3x eponent 2 -1

Question 214778: complete the square
9x=3x eponent 2 -1

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
complete the square
9x=3x exponent 2 -1
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Rearrange:
3x^2 - 9x - 1
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3(x^2 - 3x + ?) = 1 + 3*?
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3(x^2 - 3x + (3/2)^2) = 1 + 3(3/2)^2
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3(x-(3/2))^2 = 1 + 3(9/4)
3(x-(3/2))^2 = (31/4)
(x-(3/2))^2 = (31/12)
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If you want to solve this take the square root of both sides
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Cheers,
Stan H.

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