On Fri, Oct 23, 2020 at 04:36:15PM -0500, Dan Asimov wrote:
I tried to submit this to Wolfram Alpha in correct syntax, but it never gave any indication that it had the vaguest idea that this was an equation to solve, no less the correct equation to solve for real numbers u, v, w.
Solve[Exp[I(3u+v)] + Exp[I(3v+w)] + Exp[I(3w+u)] == 0, {u,v,w}, Reals]
What am I doing wrong?
I don't use Mathematica and Wolfram Alpha much. Maybe one of the problems we're seeing is that Solve doesn't accept a domain in Wolfram Alpha for some reason? I did this: Solve[Exp[I*(3*u+v)] + Exp[I*(3*v+w)] + Exp[I*(3*w+u)] == 0, {u,v,w}] and it gave me solutions (I didn't bother to look at them). Using the domain of Reals I didn't get anything useful. I tested these: Solve[x^2+1==0,x] Solve[x^2+1==0,x,Reals] Solve[x^2+1==0,x,Complexes] The first one gave me solutions. The one with Reals gave me a plot without any solutions. The one with Complexes gave me the definition of a complex number without any solutions. Just a guess. I don't have any guesses about your attempt using all real stuff. Kris