SSC CGL 2022 PYQ — Question 55

The correct answer is Option 1 i.e. 1.

Given:

$x+{{1} \over x}=1$

Concept Used:

If $x+{{1} \over x}=1$, then x³ = -1

Explanation:

According to the given question,

x¹² + x⁹ + x⁶ + x³ + 1

⇒ (x³)⁴ + (x³)³ + (x³)² + x³ + 1

⇒ (-1)⁴ + (-1)³ + (-1)² + (-1) + 1

⇒ 1

Hence the value of x¹² + x⁹ + x⁶ + x³ + 1 is 1.