If a + 1over a = 12, then find the value of a² + 1over a² .

SSC CGL 2024 PYQ — Question 57

SSC CGL - 10 Sep 2024 - Shift 1 • Quantitative Aptitude • Q57

If a + $1\over a$ = 12, then find the value of a² + $1\over a^2$ .

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 142.

Given that, a + $1\over a$ = 12

⇒ a² + $1\over a^2$ = 12² - 2 = 142