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In the formula x=y+sqrt(y^(2)+1), make y...

In the formula `x=y+sqrt(y^(2)+1)`, make y as the subject of the formula.

A

`y=(1)/(2)(x^(-1)-x)`

B

`y=(1)/(2)(x-x^(-1))`

C

`y=(1)/(2)(x^(-1)+x)`

D

`y=(1)/(2)(x^(2)+(1)/(x))`

Text Solution

Verified by Experts

The correct Answer is:
B
(i) Apply transposition.
(ii) Bring y to LHS.
(iii) Then square on both sides.
(iv). Bring the terms involving y to LHS.
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