Solve-for-real-numbers-the-following-system-of-equations-x-2-yz-3-y-2-xz-1-z-2-xy-1-

Question Number 152892 by mathdanisur last updated on 02/Sep/21

Solve for real numbers the following

system of equations :

{\begin{cases} x^{2} - yz = 3 \\ y^{2} - xz = 1 \\ z^{2} - xy = - 1 \end{cases}

Commented by MJS_new last updated on 03/Sep/21

simply put y = p x \land z = q x and {it}^{'} s easy to solve

Commented by mathdanisur last updated on 03/Sep/21

Yes, x = \pm \frac{6}{3}; y = \mp \frac{2}{3}; z = \pm \frac{1}{3}