Let \alpha, \beta be the roots of the equation x^2-a x-b=0 with {\Im}(\alpha)< {\Im}(\beta). Let P_n=\alpha^n-\beta^n. If P_3=-5 \sqrt{7} i, P_4=-3 \sqrt{7} i, P_5=11 \sqrt{7} i and P_6=45 \sqrt{7} i, then {| \alpha^4+\beta^4 |} is equal to _____ [23 Jan 2025 Shift 2]

Complex Numbers Part 2

Section: Mathematics

Question : 27 of 97

Marks: +1, -0

Let α,β be the roots of the equation x2−ax−b=0 with Im(α)<Im(β). Let Pn=αn−βn. If P3=−5√7i, P4=−3√7i,P5=11√7i and P6=45√7i, then |α4+β4| is equal to _____

[23 Jan 2025 Shift 2]

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