SOLUTION: 7/x+2 + 12=8/x-2

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Question 158885: 7/x+2 + 12=8/x-2
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
7/x+2 + 12=8/x-2
7(x-2)+12(x-2)(x+2)=8(x+2) multiply each side by the LCM to eliminate fractions.
7x-14+12(x^2-4)=8x+16
7x-14+12x^2-48=8x+16
12x^2-x-78=0
x=-2.50518..., x=2.59152... see below
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Ed
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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=3745 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.59151688013237, -2.50818354679904. Here's your graph:
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