JEE Main 202429 Jan, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let α,β\alpha, \betaα,β be the roots of the equation x2−x+2=0x^2-x+2=0x2−x+2=0 with Im(α)>Im(β)\operatorname{Im}(\alpha)>\operatorname{Im}(\beta)Im(α)>Im(β). Then α6+α4+β4−5α2\alpha^6+\alpha^4+\beta^4-5 \alpha^2α6+α4+β4−5α2 is equal to ___________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
