If , , be the roots of x^3+a^3=0 (a R), then the number of equation(s) whose roots are ( )^2 and ( )^2, is

JEE Main Mathematics question

If be the roots of , then the number of equation(s) whose roots are and , is

Answer: (A)

The roots of are , so the two other roots are always and for whichever root is called . Hence

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Question ID VK-014156