If (y - ) = 8, find the value of (y² + ).
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 66.
y - (1/y) = 8
⇒ (y - 1/y)2 = y2 - 2(y)(1/y) + (1/y)2 = 82
⇒ y2 - 2 + 1/y2 = 64
⇒ y2 + 1/y2 = 64 + 2 = 66
Therefore, the required value is 66.