Answer :
It does have solutions.
[tex]\sqrt{x} \ \textgreater \ 17 \\(\sqrt{x})^{2} \ \textgreater \ (17)^{2} \\x \ \textgreater \ 289[/tex]
[tex]\sqrt{x} \ \textgreater \ 17 \\(\sqrt{x})^{2} \ \textgreater \ (17)^{2} \\x \ \textgreater \ 289[/tex]