I am trying to find the positive root to:
1-4xcos(x)+2x^2 + cos(2x)=0.
I've tried graphing the function and separating into 2 separate functions to find an intersection, but I'm not finding that it has a positive root.
Any NA root finding method can be used to find the root.
Any ideas or clues to what I may be doing wrong?
You could try an interval search (estimate where the root is and whittle this interval down by successive approximations) or something like the Newton-Raphson method.
My calculator is coming up with two very close roots near where CaptainBlack estimated one at.