Let and be the roots of the equation x^2+px+q=0. If ^3 and ^3 are the roots of the equation x^2+mx+n=0, then what is the value of m+n?

NDA 2022 Mathematics question

Let and be the roots of the equation . If and are the roots of the equation , then what is the value of ?

Answer: (D)

and . Then )^3$-3αβ(α+β)

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Question ID VK-029308