Question
Download Solution PDFIf \(\rm \left(3y-\frac{3}{y}\right)=5 \), find the value of \(\rm \left(y^2+\frac{1}{y^2}\right) \) ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
\(\rm \left(3y-\frac{3}{y}\right)=5 \)
Formula Used :
(a - b)2 = a2 + b2 - 2ab
Calculation :
⇒ y - 1/y = 5/3
⇒ y2 + 1/y2 - 2 = 25/9
⇒ y2 + 1/y2 = 25/9 + 2
⇒ y2 + 1/y2 = (25 +18)/9
⇒ y2 + 1/y2 = 43/9
∴ The correct answer is 43/9.
Last updated on Jun 13, 2025
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