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Results tagged with equation-solving
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user 96174
Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).
1
vote
2
answers
153
views
Mathematica struggles to solve system of trigonometric equations?
As explained here, I'm trying to solve $$-ar \cos \phi = R \cos \psi \\
r \sin \phi = R \sin \psi$$ for $R, \psi$ in terms of $r, \phi$.
I believe the correct solution is $$R = r \sqrt{a^2 \cos^2 \phi …
- 133
1
vote
2
answers
89
views
Why won't Mathematica simplify this expression? [closed]
The code
myp = b^2 + (m^2 + 1)*x^2 + 2*x*(mb - (r + s)) + r^2 + 2*r*s
d = Discriminant[myp, x]
Solve[d == 0, s] // Factor // FullySimplify
returns
FullySimplify[{{s ->
mb + m^2 r - Sqrt[(1 + m^2 …
- 133