SOLUTION: factoring: quadratic equations and completing the square x^2-x+1/4 I don't know how to do this when it's a fraction, would i use completing the square?

Algebra ->  Square-cubic-other-roots -> SOLUTION: factoring: quadratic equations and completing the square x^2-x+1/4 I don't know how to do this when it's a fraction, would i use completing the square?      Log On


   

Question 125945: factoring: quadratic equations and completing the square
x^2-x+1/4
I don't know how to do this when it's a fraction, would i use completing the square?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^2-x+1/4
= (x-(1/2))^2
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You recognize that x^2 and (1/4) are both perfect squares.
Then you regognize that 1 is twice the square root of (1/4)
Therefore the trinomial is a perfect square trinomial
and factors as (a-b)^2
Your a is "x"; Your b is "1/2"
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Cheers,
Stan H.