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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^3x^2+abcx+c^3=0` in terms of `alpha,beta`.

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The correct Answer is:
`alpha^2beta`and`beta^2alpha`
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CHHAYA PUBLICATION-QUADRATIC EQUATIONS-EXERCISE 5A(Long Answer type question)
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  12. Find the condition that the roots of the quadratic equation x^2+px+q=0...

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  13. Find the condition that the roots of the quadratic equation x^2+px+q=0...

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  14. Find the condition that the roots of the quadratic equation x^2+px+q=0...

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  15. Find the condition that the roots of the quadratic equation x^2+px+q=0...

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  16. If the roots of the equation x^2+x+a=0 be real and unequal, then prove...

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  17. Prove that, if the roots of the equation (a^2+b^2)x^2+2(bc+ad)x+(c^2+d...

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