If (4y - ) = 13, find the value of (y2).

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 4)
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Detailed Solution

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Given

(4y - 4/y) = 13

Concept used

If (y - 1/y) = k

(y2 + 1/y2) = K2 + 2

Calculation

(4y - ) = 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).

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