It is sometimes helpful to plot the function. Root is, as far as I know, not really meant to find roots, it's much more an abstract representation of the n th root of an equation, much like sin ( 10) does make sense on its own, without evaluating it to an explcit number. Determine roots of the equation x3 2 x2 - x - 2 0 using the Solve, Nsolve. According to that article, there is a systematic approach to finding a functional square root that involves solving Schröder's equation though I don't know what procedure to apply. FindRoot, one of the functions you used, solves numerically only, iterating Newton's method until sufficiently accurate. Mathematicas help says that in this case FindRoot does. ![]() ![]() A functional square root of a function $g$ is another function $f$ such that $g=f\circ f$. equation has two roots, only one of which is the solution of the initial equation, why the other.
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