RRB NTPC · Question 92
If (x^2 + 1/16x^2) = 19/2, then find the value of (2x – 1/2x). A. 6 B. 12 C. 32 D. 41
Show answer & explanation
Answer: (B) A
Explanation
(2x − 1/(2x))² = 4x² + 1/(4x²) − 2 = 4(x² + 1/(16x²)) − 2 = 4 × 19/2 − 2 = 36, so 2x − 1/(2x) = 6.