お暇なら考えてみて
以下の条件を全て満たす複素数x,y,zを求めよ
(1+x+y+z+cos(2π/5)+isin(2π/5))²=5(1+x²+y²+z²+cos(4π/5)+isin(4π/5))
(1+x+y+z+cos(2π/5)+isin(2π/5))³=25(1+x³+y³+z³+cos(6π/5)+isin(6π/5))
(1+x+y+z+cos(2π/5)+isin(2π/5))⁴=125(1+x⁴+y⁴+z⁴+cos(8π/5)+isin(8π/5))
1<|x|≦|y|≦|z|