2. solve the following equation system
a^5 = b + b^5
b^5 = c + c^5
c^5 = d + d^5
d^5 = a + a^5
1. Given: \(\displaystyle \,\begin{array}{ccc}[1]\;a\,+\,b\:=\:3m^2 \\ [2]\;b\,+\,c\:=\:6m\; \\ [3]\;a\,+\,c\:=\:2\;\;\,\end{array}\;\)where \(\displaystyle m\) is a real number
Find the values of \(\displaystyle m\) if \(\displaystyle a\,\leq\,b\leq\,c\)