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

InterviewSolution

1.	Sum of a number and its reciprocal is `5/2`. Find the number.
Answer» 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` `=>(2x-1)(x-2) = 0` `:. x = 2 and x = 1/2` So, `2` and `1/2` are the required numbers.

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