If we solve the equation x^x=1/sqrt(2) in Maple 2018.2, then Maple returns only one solution x=1/2 , although this equation has 2 solutions x=1/2 or x=1/4 . This can be seen if you plot graphs or , for example, solve by the Student:-Calculus1:-Roots command. In this case, the root x=1/4 is returned only as a numerical approximation. I wonder if this bug has been fixed in the latest versions of Maple?
restart; solve(x^x=1/sqrt(2)); Student:-Calculus1:-Roots(x^x=1/sqrt(2));