SOLUTION: what are the solution of this equation 2x + 5/2 = 3/x

Question 971038: what are the solution of this equation 2x + 5/2 = 3/x
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
what are the solution of this equation 2x + 5/2 = 3/x
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Multiply thru by 2x

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=121 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.75, -2. Here's your graph:

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x = 3/4, x = -2

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