Question

please give full solution and I will follow you and mark as brainliest ​

Answer 1

Step-by-step explanation:

x + 1/x = 5 --------(1)

Doing square both side

x² + 1/x² + 2 = 25

x² + 1/x² = 23 -------(2)

Doing cube both side of equation (1)

x³ + 1/x³ + 3(x + 1/x) = (5)³

x³ + 1/x³ + 3(5) = 125

x³ + 1/x³ = 125 - 15

x³ + 1/x³ = 110 --------(3)

From equation (2) × (3)

(x² + 1/x²) × (x³ + 1/x³) = 23 × 110

x^5 + 1/x + x + 1/x^5 = 2530

x^5 + 1/x^5 + (x + 1/x) = 2530

x^5 + 1/x^5 = 2530 - 5

= 2525

Answer 2

The correct option is A.

The explanation is in the attachment