If a² + 1/a² = 14, find the value of a⁴ + 1/a⁴.
Show answer & explanation
Correct answer: B
Explanation
Given,
a² + 1/a² = 14
Squaring both sides,
(a² + 1/a²)² = a⁴ + 1/a⁴ + 2
14² = a⁴ + 1/a⁴ + 2
196 = a⁴ + 1/a⁴ + 2
a⁴ + 1/a⁴ = 194
SSC Selection Post 2025 PYQ — Question 37
SSC Selection Post - Graduation Level - 29th July 2025 - Shift 3 • Quantitative Aptitude • Q37