SOLUTION: Solve for the unknow.Which would be X. 0=2x(x²+1)ˉ½-1

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Question 190265: Solve for the unknow.Which would be X.
0=2x(x²+1)ˉ½-1
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
.


Now, multiply both sides by


Squaring both sides:

Moving all terms to the right:

Solving with the quadratic equation yields:
x = {0.6404, -0.3904}
.
Details of quadratic follows:
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=17 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.640388203202208, -0.390388203202208. Here's your graph:
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