If (2y+2/y)=7 , find the value of (y² + 1/(y²)).

If $(2y+\frac{2}{y})=7$ , find the value of $(y² + \frac{1}{y^2}).$

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. $\frac{41}{4}$ .

Given that

If $(2y+\frac{2}{y})=7$ ,

⇒ y + 1/y = 7/2

Squaring to both sides

⇒ y² + 1/y² + 2 = 49/4

⇒ y² + 1/y²= 49/4 - 2

⇒ y² + 1/y²= 41/4

SSC CGL 2023 PYQ — Question 53