Question:
If x + 1/x = 5, find x⁴ + 1/x⁴.
यदि x + 1/x = 5 हो, तो x⁴ + 1/x⁴ का मान क्या होगा?
Options:
- a) 527
- b) 527
- c) 580
- d) 543
- a) 527
- b) 529
- c) 580
- d) 543
correct answer : a)
Explanation:
x+1/x=5 → (x+1/x)²=25 → x²+1/x²=23. (x²+1/x²)²=529 → x⁴+1/x⁴=527.
x²+1/x² = 25-2 = 23। x⁴+1/x⁴ = 23²-2 = 527।