Question:
Given: x + 1/x = 2, find the value of the given expression: x⁶ + 1/x⁶ – 3(x³ + 1/x³) + 5(x² + 1/x²).
दिया गया है: x + 1/x = 2, व्यंजक का मान ज्ञात करें: x⁶ + 1/x⁶ – 3(x³ + 1/x³) + 5(x² + 1/x²).
Options:
- a) 2
- b) 4
- c) 6
- d) 8
- a) 2
- b) 4
- c) 6
- d) 8
correct answer : c)
Explanation:
If x + 1/x = 2, then x = 1. Expression = 2 – 3(2) + 5(2) = 2 – 6 + 10 = 6.
यदि x + 1/x = 2, तो x = 1. व्यंजक = 2 – 3(2) + 5(2) = 2 – 6 + 10 = 6.