You can put this solution on YOUR website! Solve 1/3x2-1/2x=1/6. The 2 beside the 1/3x is supposed to represent squared.
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(1/3)x^2 - (1/2)x = 1/6
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Get rid of those denominators, multiply equation by 6 and you have:
2x^2 - 3x = 1
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2x^2 - 3x - 1 = 0; subtracted 1 from both sides, a quadratic equation
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Use the quadratic formula to find x; a=2; b=-3; c = -1
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: : 1st solution
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x = +1.78
: : 2nd solution
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x = -.28
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Check x = 1.78 in the original equation:
(1/3)1.78^2 - (1/2)1.78 = 1/6
(1/3)3.17 - (1/2)1.78 = 1/6
1.056 - .89 = .166 which is about 1/6
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I'll let you check the x = -.28 solution
