An algebra problem by Debshankar Ghosh
Algebra
Level
pending
Let α,β be the roots of the equation, x^2-6x+1=0 and n>=0.Select the correct option regarding these roots.
α^n+β^n is not an integer
α^n+β^n is divisible by 6
α^n+β^n is divisible by 5
α^(n+1)+β^n is divisible by 3
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