SOLUTION: The sum of a number and its reciprocal is 1 3 _ 6 . Find the number

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Question 926556: The sum of a number and its reciprocal is 1 3
_
6
. Find
the number
Answer by srinivas.g(540)   (Show Source): You can put this solution on YOUR website!
let x be thew number
its reciprocal is 1/x
so
L.C.M is x
so

multiply with 6 on both sides


multiply with x on both sides




Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=25 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.5, 0.666666666666667. Here's your graph:
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