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Sum of a number and its reciprocal is 5/...

Sum of a number and its reciprocal is `5/2`. Find the number.

Text Solution

Verified by Experts

Let the number is `x`.
Then, its reciprocal will be `1/x`.
So, `x+1/x = 5/2`
`=>(x^2+1)/x = 5/2` `=>2(x^2+1) = 5x`
`=>2x^2-5x+2 = 0`
`=>2x^2-4x-x+2 = 0`
`=>2x(x-2)-1(x-2) = 0`
...
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