SSC CPO 2022 PYQ — Question 142

The correct answer is option 4 i.e. 198

If x² + 6x + 1 = 0

x + 1/x = -6

cubes on both sides

x³ + 1/x³ = - 216 - 3 * (- 6) = - 198

The value of (x + 6)³ + $1 \over (x + 6)^3$ 

As we know (x + 6) = - (1/x)

- (1/x³) + -x³ = - (x³ + 1/x³) = - (-198) 

= 198