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I was working on a lengthy problem and got stuck on something simple. I have a quadratic expression 4(x^2) - 4x + 3 that I should have been able to complete the square on to rewrite as (2x - 1)^2 + 2

My knowledge of applying this technique when a coefficient is attached to the leading term is rusty so I got out my old algebra books. The solution they offered was to set 4(x^2) - 4x + 3 = 0

and then divide each side by four. With the coefficient removed, then the square can be completed the usual way. But this isn't giving me what I need at all.

Any advice on this technique?

Thanks mucho!!

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# Homework Help: Completing the square

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