Let \alpha and \beta be the roots of the equation x^{2}+p x+q=0. If \alpha^{3} and \beta^{3} are the roots of the equation x^{2}+m x+n=0, then what is the value of m+n ? [NDA-I 2022]

Correct Answer is : p3+q3−3pq

UPSC NDA I 2022 Mathematics Solved Paper

Question : 17 of 120

Marks: +1, -0

Let α and β be the roots of the equation x2+px+q=0. If α3 and β3 are the roots of the equation x2+mx+n=0, then what is the value of m+n ?

[NDA-I 2022]

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