I'm not sure if there's a way to be certain when you see an unfamiliar equation, but when I see an equation with the unknown both inside and outside a transcendental function (e.g. x = sin(x), or x ln(x) = 5), I expect it to be unsolvable in closed form. Of course, there are other ways to be unsolvable, and many equations for which the solution is not merely "x = ...".)Sometimes I come across equations with no closed form/analytic solution (trying to get it in the form x=) but I don't know until I try. How can I know if an Equation is solvable in this manner without actually solving it?
I assume you meant ........If x^2 + y^2 = -23, there is no real solution.If x^2 + y^2 = -23, there is no solution.
I assume you meant, this has no real solution!sin(x-pi) = 1.3 has no solution.