SOLUTION: How do I Solve by completing the square: 3x^2 + x + 1 = 0

Question 1010087: How do I Solve by completing the square:
3x^2 + x + 1 = 0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve by completing the square:
3x^2 + x + 1 = 0
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3x^2 + x = -1
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3(x^2 + x/3 + (1/9) = -1 + 3(1/9)
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3(x+1/3)^2 = 2
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(x+1/3)^2 = 2/3
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x+(1/3) = sqrt(2/3) or x+(1/3) = -sqrt(2/3)
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x = [-1+sqrt(6)]/3 or x = [-1-sqrt(6)]/3
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Cheers,
Stan H.
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