$$ \left. \begin{array} { l } { ( x + y ) ^ { 3 } = z } \ { ( y + z ) ^ { 3 } = x } \ { ( z + x ) ^ { 3 } = y } \end{array} ight. $$

Question

$$ \left. \begin{array} { l } { ( x + y ) ^ { 3 } = z } \ { ( y + z ) ^ { 3 } = x } \ { ( z + x ) ^ { 3 } = y } \end{array} ight. $$

Mckenzie Mccarthy · Accepted Answer

الحلول للمعادلات هي: - $$ x = y = z = 0 $$ - $$ x = y = z = \frac{1}{2\sqrt{2}} $$ - $$ x = y = z = -\frac{1}{2\sqrt{2}} $$

\( \left. \begin{array} { l } { ( x + y ) ^ { 3 } = z } \\ { ( y + z ) ^ { 3 } = x } \\ { ( z + x ) ^ { 3 } = y } \end{array} \right. \)