If alpha, beta are the roots of the equation x^2-2x+4=0 for any n kcos n pi/3 then k=/ntse/jee mains

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L-7, Q5 If α, β be the roots of x² -2x +4=0 T.P. αⁿ + βⁿ = 2^(n+1) cos nπ/3 |Trigonometry&Matrices | L-7, Q5 If α, β be the roots of x² -2x +4=0 T.P. αⁿ + βⁿ = 2^(n+1) cos nπ/3 |Trigonometry&Matrices |
If α,β are the roots of equation x²-2x+4=0 then positive integer n show that αⁿ+βⁿ = 2ⁿ⁺¹cos(nπ/3) If α,β are the roots of equation x²-2x+4=0 then positive integer n show that αⁿ+βⁿ = 2ⁿ⁺¹cos(nπ/3)
If alpha,beta are roots ofx^2-2x+4=0 then positive integer n showalpha^n+beta^n=2^(n+1)cos (n pi/3) If alpha,beta are roots ofx^2-2x+4=0 then positive integer n showalpha^n+beta^n=2^(n+1)cos (n pi/3)
If `alpha` and `beta` are the roots of the equation `x^2-2x+4=0`, prove that `alpha^n+beta^n=2^... If `alpha` and `beta` are the roots of the equation `x^2-2x+4=0`, prove that `alpha^n+beta^n=2^...
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