SOLUTION: 6/x^2 - 29/x = 17. Can anyone explain to me how to do this step by step?

Question 262602: 6/x^2 - 29/x = 17. Can anyone explain to me how to do this step by step?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
6/x^2 - 29/x = 17
Eliminate the fractions by multiplying by x^2
6 - 29x = 17x^2
17x^2 + 29x - 6 = 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=1249 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.186505708651311, -1.89238806159249. Here's your graph:

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