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Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).
4
votes
Finding where two parametric paths cross?
Just post as another method.
Considering the two parametric equations are polynomials,we can obtain the implicit equation by eliminate the parametric $t$.
Using the function GroebnerBasis.
f[x_, y_ …
0
votes
Problems with finding the real solutions of equation
To see why this happened, we can firstly factor the polynomial in $\mathbb{Q}$.
Factor[x^16 + x^3 + x + 1]
(1 + x) (1 - x + x^2) (1 + x - x^4 + x^7 - x^10 + x^13)
So -1 is a real root. The root …