JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)If α\alphaα is a root of the equation x2+x+1=0x^2 + x + 1 = 0x2+x+1=0 and ∑k=1n(αk+α−k)2=20\displaystyle\sum_{k=1}^n\bigl(\alpha^k + \alpha^{-k}\bigr)^2 = 20k=1∑n(αk+α−k)2=20, then nnn is equal to:Your answerInteger or decimalCheckStep-by-step hintSkip · show solution
