If x²+x+1=0, then the value of (x + 1/x)⁴ + (x² + 1/x²)⁴ + (x³ +… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 21 January, Shift 1Complex Numbers Basics

If $x^2+x+1=0$ , then the value of $\left(x + \frac{1}{x}\right)^4 + \left(x^2 + \frac{1}{x^2}\right)^4 + \left(x^3 + \frac{1}{x^3}\right)^4 + \dots + \left(x^{25} + \frac{1}{x^{25}}\right)^4$ is:

A
$128$
B
$175$
C
$145$
D
$162$

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