SOLUTION: i want the value of x in (x+ 1/x)^2=3 and then show by submitting the x value in the equation

Question 828975: i want the value of x in (x+ 1/x)^2=3 and then show by submitting the x value in the equation
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!

take square root of each side

multiply each side by x

subtract sqrt(3)x from each side

Solutions are
or
See http://www.wolframalpha.com/input/?i=x^2-sqrt%283%29x%2B1%3D0
below is the solution by the solver

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 : .

The discriminant -0.99999999999999 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -0.99999999999999 is + or - .

The solution is

Here's your graph:

Plugging solutions back into the equation will take some careful work.
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