SOLUTION: i need help solving this equation without using the quadratic formula: x^2-1/2x=1/3

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Question 674484: i need help solving this equation without using the quadratic formula: x^2-1/2x=1/3
Found 2 solutions by solver91311, MathTherapy:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The only way to do it, since it won't factor and you don't want to use the quadratic formula, is to complete the square.

Divide the coefficient on by 2, then square the result: . Add to both sides.



Factor the perfect square trinomial in the LHS and simplify the RHS.



Take the square root of both sides:



Add the additive inverse of the constant in the LHS to both sides:



Now all you have to do is to rationalize the denominator and apply the LCD to combine the two fractions in the RHS.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

i need help solving this equation without using the quadratic formula: x^2-1/2x=1/3

Duplicate. See problem # 674465.