Re: A good exercise ...
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Use completing the square to derive the quadratic formula.
Start with Ax^2+Bx+c=0
end with x = (-B (+-) SQRT(B^2-4AC))/2A
The algebraic manipulation is a little tricky. This goes a long way in solidifying your algebraic understanding and skills in my opinion.
-DP
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See my first post in this thread.
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