SOLUTION: {{{ 6/x + 18/(x+8) = 8}}} just solve

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Question 34176: just solve
Answer by elephantsize(7)   (Show Source): You can put this solution on YOUR website!
6/x + 18/(x + 8) = 8
=> {6(x+8)+ 18x}/x(x+8) = 8
=> (24x+8)/(x^2+8x)=8
=> 24x+8 = 8x^2 + 64x
=> 8x^2 + 40x - 8 = 0
=> x^2 + 5x - 1 = 0
=>
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=29 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.192582403567252, -5.19258240356725. Here's your graph:
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