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Results tagged with equation-solving
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user 38941
Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).
0
votes
Checking Rationality Using FindInstance
You might try brute-force search, enumerating all (positive) rationals starting from 0:
x = 0;
While[! (Element[Sqrt[x^2 + 6], Rationals] &&Element[Sqrt[x^2 + 12], Rationals]),
x = 1/(Floor[x] + 1 …
8
votes
Accepted
Finding the condition for root of a third degree polynomial
Assuming real coefficients and a=1, following Daniel Lichtblau comment, conditions are quickly found by:
Resolve[ForAll[s, s^3 + b*s^2 + c*s + d == 0, Re[s] < 0] &&
Element[d, Reals] && Element[c …