System of equations contaning Integer+fraction part....

\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

3 Answers

71
Vivek @ Born this Way ·

Does there exists any solution? I could fine none>

Let me know then I'll try harder.

1708
man111 singh ·

No solution.

71
Vivek @ Born this Way ·

Please Indicate any error as they might have crept in due to latex.

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