SOLUTION: 1/x+1/(x+6)=1/5

Question 877144: 1/x+1/(x+6)=1/5
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1/x+1/(x+6)=1/5
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Multiply thru by 5x*(x+6) to eliminate fractions
5(x+6) + 5x = x(x+6)

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=136 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7.8309518948453, -3.8309518948453. Here's your graph:

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