let $n$ is non-negative number so the equations$({x}^{2}+1{)}^{2}+n=yz+1$$({y}^{2}+1{)}^{2}+n=zx+1$$({z}^{2}+1{)}^{2}+n=xy+1$have $(x,y,z)$ real solution.find all solutions for the non-negative n that make $(x,y,z)$ are real numbers and find $(x,y,z)$ also