Find all real solutions

Algebra Level 3

Find the number of real solutions (x,y,z)(x,y,z) of

{(x+y)3=z(y+z)3=x(z+x)3=y \begin{cases} (x+y)^{3}=z \\ (y+z)^{3}=x \\ (z+x)^{3}=y \end{cases}

×

Problem Loading...

Note Loading...

Set Loading...