I have a problem with the following problem. We have to write x in terms of a.

[tex]x^2=y+a[/tex]

[tex]y^2=z+a[/tex]

[tex]z^2=x+a[/tex]

I have done some work but all I got is eighth degree polinomial and there is no easy wayof solving it in terms of a as far as I know. This is what I have

[tex]((x^2-a^2)^2-a)^2=x[/tex]

Any help is appreciated

Cheers,

Can