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Let a,b,c be real numbers with ane0 and ...

Let a,b,c be real numbers with `ane0` and let `alpha,beta` be the roots of the equation `ax^2+bx+c=0`. Express the roots of `a^2cx^2+(b^3-3abc)x+ac^2=0` in terms of `alpha,beta`.

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The correct Answer is:
`p=beta^2/alpha,q=beta^2/alpha`
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