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September 19th, 2011, 12:24 PM   #1
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solve a quadratic equation

I have this equation,

ax^2-(2a+1)x+(a+1)=0 (a>0)

should I combine 2a+1 and a+1 then distribute the x? Or if I don't do that, what do I do with the a by itself?
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September 19th, 2011, 12:54 PM   #2
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Re: solve a quadratic equation

We are given:

where .

I would just use the quadratic formula:



Thus:



Now (observing 1 is a root), we could have factored:









Think about what is implied about the roots when the constant a changes in size...
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