SOLUTION: (x+1/x)^2=3 then find the value of x?

Question 828100: (x+1/x)^2=3 then find the value of x?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(x+1/x)^2=3 then find the value of x?
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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=12 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.36602540378444, -0.366025403784439. Here's your graph:

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