SOLUTION: " What is the number if a number is added to its reciprocal the sum is 25/12?"

Question 389550: " What is the number if a number is added to its reciprocal the sum is 25/12?"
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x + (1/x) = 25/12

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=49 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.33333333333333, 0.75. Here's your graph:

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x = 3/4
x = 4/3

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