Question 71
Show that there do not exist strictly positive real numbers $x, y, z$ such that
$$
\left(2 x^{2}+y z\right)\left(2 y^{2}+x z\right)\left(2 z^{2}+x y\right)=26 x^{2} y^{2} z^{2}
$$
$$
\left(2 x^{2}+y z\right)\left(2 y^{2}+x z\right)\left(2 z^{2}+x y\right)=26 x^{2} y^{2} z^{2}
$$