![]() Reduce[ x^2 + y^2 83/84, y -> 31/18}, *)ģ) Solve tends to be less thorough than Reduce in order to return an answer faster (somewhat like Simplify vs. Solve::fdimc: When parameter values satisfy the condition r ∈ Reals, the solution setĬontains a full-dimensional component use Reduce for complete solution information. We have the same issue with Reduce.Įxample : Solve cannot find solutions in the real domainĬonsider a simple symbolic case in the real domain where Solve does not work even with Ma圎xtraConditions -> All : Solve Inequalities are real, while all other quantities are complex. Use ToRadicals to get Mathematica to (attempt to) expand these Root objects. Solve assumes by default that quantities appearing algebraically in Note that Mathematica can calculate symbolic results for the roots of any polynomial of order 3 or 4, as well as certain higher-order polynomials it just doesn't do so by default. Equation Solver - with steps To solve x11 + 2x 43 type 1/ (x-1) + 2x 3/4. Using Ma圎xtraConditions -> All in Solve provides complete solutions for algebraic equations, nevertheless we have to emphasize that sometimes we might better work with Reduce rather than Solve (regardless of any options added) because replacement rules may appear not a good fit in description of solutions in the real or complex domain to algebraic equations as well as to trancendental equations˛ Distinction between genericity and completness does not make sense in the Integers, an example provided below. ![]()
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