SOLUTION: Solve the given equation. - 3/x + 10 = x - 10/25

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Question 158037: Solve the given equation.
- 3/x + 10 = x - 10/25
Answer by atique.ah(27)   (Show Source): You can put this solution on YOUR website!

- 3/x + 10 = x - 10/25
simplify
(x + 3/x) - 2/5 - 10=0
(x^2 + 3)/x - 52/5 = 0
5x^2 - 52x + 15 = 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=2404 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 10.1030602688525, 0.296939731147495. Here's your graph:
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