Question
Download Solution PDFIf (4y - \(\frac{4}{y}\)) = 13, find the value of (y2 + \(\frac{1}{y^2}\)).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
(4y - 4/y) = 13
Concept used
If (y - 1/y) = k
(y2 + 1/y2) = K2 + 2
Calculation
(4y - \(\frac{4}{y}\)) = 13
Dividing the whole equation by 4.
⇒ (y - 1/y) = 13/4
Squaring both side
⇒ (y2 + 1/y2) - 2 = 169/16
⇒ (y2 + 1/y2) = 169/16 + 2
⇒ (y2 + 1/y2) = (169 + 32)/16
⇒ (y2 + 1/y2) = 201/16
⇒ (y2 + 1/y2) = 12(9/16)
The value of the expression is 12(9/16).
Last updated on Jul 12, 2025
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