SOLUTION: 5/3x+1/3x=2x+40/3+8/3x The solution s x=?

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Question 464046: 5/3x+1/3x=2x+40/3+8/3x
The solution s x=?
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
5/3x+1/3x=6/3x
6/3x=2x+40/3+8/3x
6=6x2+40x+8
6x2+40x+2=0
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=1552 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.050380732734632, -6.61628593393203. Here's your graph:
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