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Complex Numbers

Section: Mathematics

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Question : 3

Total: 36

Let f(x)=x4+ax3+bx2+c be a polynomial with real coefficients such that f(1)=−9. Suppose that i√3 is a root of the equation 4x3+3ax2+2bx=0, where i=√−1. If α1,α2,α3, and α4 are all the roots of the equation f(x)=0,then |α1|2+|α2|2+|α3|2+|α4|2 is equal to ________.

[JEE Adv 2024 P1]

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