SOLUTION: {{{x + 1/3x = 8}}}

Question 451218:
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
x+1/3x=8
3x2+1=24x
3x2-24x+1=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=564 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7.95811402901264, 0.0418859709873611. Here's your graph:

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