Question
The sum of positive number and its reciprocal is thrice the difference of the number and its reciprocal
The number is:
Answer: Option A
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Let the number be `x`. Then ,
`x + 1/x` = `3(x - 1/x)` `hArr` `(x^2 + 1)/(x)` = `3((x^2 - 1)/(x))`
`hArr` `x^2 + 1` = `3x^2 - 3` `hArr` `2x^2` = 4 `hArr` `x^2` = 2 `hArr` `x` = `sqrt(2)`
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