SOLUTION: Solve 1/3x2-1/2x=1/6. The 2 beside the 1/3x is supposed to represent squared.

Question 77053: Solve 1/3x2-1/2x=1/6. The 2 beside the 1/3x is supposed to represent squared.
Answer by ankor@dixie-net.com(22740) (Show Source): 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.
:
(1/3)x^2 - (1/2)x = 1/6
:
Get rid of those denominators, multiply equation by 6 and you have:
2x^2 - 3x = 1
:
2x^2 - 3x - 1 = 0; subtracted 1 from both sides, a quadratic equation
:
Use the quadratic formula to find x; a=2; b=-3; c = -1

:
: 1st solution
:

x = +1.78
:
: 2nd solution
:

x = -.28
:
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
:
I'll let you check the x = -.28 solution
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