If x + 1/x = 7 , Then the value of x² + 1/(x²) is :

If x + $\frac{1}{x}$ = 7 , Then the value of x² + $\frac{1}{x^2}$ is :

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 47.

Given that

If x + $\frac{1}{x}$ = 7 ,

Square both sides

⇒ (x + $\frac{1}{x}$ )² = 7²

⇒ x² + $\frac{1}{x^2}$ + 2 = 49

⇒ x² + $\frac{1}{x^2}$ = 49 - 2 = 47

SSC CHSL 2023 PYQ — Question 56