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JEE Main20246 Apr 2024Evening ShiftMathematicsQuadratic EquationActual

Let , be roots of x^2+ 2 x-8=0 . If U _ n = ^ n + ^n , then U ₁₀+ 2 U ₉ 2 U ₈ is equal to______

Correct answer

0

Step-by-step solution

aligned & ¹⁰+ ¹⁰+ 2 ( ^9+ ^9 ) 2 ( ^8+ ^8 ) & ^8 ( ^2+ 2 )+ ^8 ( ^2+ 2 ) 2 ( ^8+ ^8 ) & 8 ^8+8 ^8 2 ( ^8+ ^8 ) =4 aligned

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