![]() ![]() , is an index identifying the particular root and the pure function polynomial is irreducible. If you tighten that you loose good roots and get a bunch of extras numercally close to each other. In general, a given root of a polynomial is represented as Root n + a n -1 ( n -1)+.+ a 0&, k, where, 2. There are two principle tools for finding roots of polynomial equations in Mathematica : Solve > generates analytical expressions for the. ![]() Note the uncomfortably coarse tolerance (10^-8). equation solving - find the real root - Mathematica Stack Exchange find the real root Ask Question Asked 9 years ago Modified 9 years ago Viewed 2k times 0 I have the following equation: ( y 1) b 1 C y exp ( a x) 0 where a, b are real constants, C may be a complex number. #] #] (Abs < 10^-8 &)] &, all, #1 != #2 &, 2] įirst find all roots of the real part, then select the roots where the imaginary part is also zero: allz = Select ]] < 10^-8 &] as given in the Mathematica screenshot, then we have a real part which crosses zero, and an imaginary part which also crosses zero but at a different x. For example, for the equation y x2 - 1 The. PlotPoints -> 1000], Line -> x, Infinity], 2, 1] , But in high school we learn to identify the roots of an equation via its plot right. This finds the first hundred or so roots, recursively searching between each pair of previously found roots. I think doing this numerically you need to be really careful with numerical precision issues. ![]()
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