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Complex Numbers question

2025 · 4 Apr · Shift 2 · Q49

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JEE Main
Mathematics
Complex Numbers
2025 · 4 Apr · Shift 2 · Q49

Complex Numbers question

2025 · 4 Apr · Shift 2 · Q49

JEE MainMathematicsComplex NumbersNumerical+4 / −1

If

\alpha

is a root of the equation

x^2+x+1=0

and

\sum_{\mathrm{k}=1}^{\mathrm{n}}\left(\alpha^{\mathrm{k}}+\frac{1}{\alpha^{\mathrm{k}}}\right)^2=20

, then n is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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