JEE Main 20246 Apr, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let α,β\alpha, \betaα,β be roots of x2+2x−8=0x^2+\sqrt{2} x-8=0x2+2x−8=0. If Un=αn+βn\mathrm{U}_{\mathrm{n}}=\alpha^{\mathrm{n}}+\beta^{\mathrm{n}}Un=αn+βn, then U10+2U92U8\frac{\mathrm{U}_{10}+\sqrt{2} \mathrm{U}_9}{2 \mathrm{U}_8}2U8U10+2U9 is equal to ________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
