If (y+1/y) = 8 , find the value of (y²+1/(y²)) .

If $(y+\frac{1}{y}) = 8$ , find the value of $(y^2+\frac{1}{y^2})$ .

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 62.

Given that

$(y+\frac{1}{y}) = 8$

Calculation

Squaring both sides

⇒ $(y^2+\frac{1}{y^2})$ + 2 = 64

⇒ $(y^2+\frac{1}{y^2})$ = 64 - 2 = 62

SSC CHSL 2023 PYQ — Question 75