FindRoot
 Usage
Notes
 Further Examples
These two curves intersect at one point.
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This finds a numerical approximation to the x coordinate of the intersection point. The  is the initial guess.
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Trigonometric equations typically have an infinite number of roots. If you start sufficiently close to a particular root of an equation, FindRoot will find that root.
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Starting closer to another root will give a different solution.
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You can restrict FindRoot to a region in which to look for solutions. Here the initial guess is  and the solution is supposed to be between  and  . There is no such solution.
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This is what happens when FindRoot can find no solutions at all.
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If you want FindRoot to use complex values in its search, then you need to give a complex starting value.
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This finds a solution to a set of simultaneous equations. It is a good idea to avoid taking the starting values for x and y to be equal or to take any other "special" combinations of values.
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