Does there exists any solution? I could fine none>
Let me know then I'll try harder.
\bg_green \hspace{-16}$Solve System of equations for real $\mathbf{x\;,y\;,z}$\\\\\\ \begin{Bmatrix} \bold{x^2+y^2=2.(\lfloor z^2 \rfloor +1).(\left\{z^2\right\}+1)} & \\\\ \bold{y^2+z^2=2.(\lfloor x^2 \rfloor +1).(\left\{x^2\right\}+1)}& \\\\ \bold{z^2+x^2=2.(\lfloor y^2 \rfloor +1).(\left\{y^2\right\}+1)}& \end{Bmatrix}$\\\\\\ $ Where $\mathbf{\lfloor x \rfloor }=$ floor function and $\mathbf{ \left\{\;x\left\}}=$ Fractional part function
Does there exists any solution? I could fine none>
Let me know then I'll try harder.
Please Indicate any error as they might have crept in due to latex.