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Let alpha and beta be the roots of the e...

Let `alpha` and `beta` be the roots of the equation `ax^2+2bx+c`=0 and `alpha+gamma` and `beta+gamma` be the roots of `Ax^2+2Bx+C`=0. Then prove that `A^2(b^2-ac)=a^2(B^2-AC)`.

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