해법
을 위해 해결하다 x,(7x4+y)3+c=m
해법
x=73m−c−y,x=−73m−c−y,x=i473m−c−y,x=−i473m−c−y,x=47(−c+m)32+y2+y3−c+mcos4arctan(−3−c+m−2y33−c+m)+i47(−c+m)32+y2+y3−c+msin4arctan(−3−c+m−2y33−c+m),x=47(−c+m)32+y2+y3−c+mcos4arctan(−3−c+m−2y33−c+m)+2π+i47(−c+m)32+y2+y3−c+msin4arctan(−3−c+m−2y33−c+m)+2π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−3−c+m−2y33−c+m)+4π+i47(−c+m)32+y2+y3−c+msin4arctan(−3−c+m−2y33−c+m)+4π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−3−c+m−2y33−c+m)+6π+i47(−c+m)32+y2+y3−c+msin4arctan(−3−c+m−2y33−c+m)+6π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−−3−c+m−2y33−c+m)+i47(−c+m)32+y2+y3−c+msin4arctan(−−3−c+m−2y33−c+m),x=47(−c+m)32+y2+y3−c+mcos4arctan(−−3−c+m−2y33−c+m)+2π+i47(−c+m)32+y2+y3−c+msin4arctan(−−3−c+m−2y33−c+m)+2π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−−3−c+m−2y33−c+m)+4π+i47(−c+m)32+y2+y3−c+msin4arctan(−−3−c+m−2y33−c+m)+4π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−−3−c+m−2y33−c+m)+6π+i47(−c+m)32+y2+y3−c+msin4arctan(−−3−c+m−2y33−c+m)+6π
솔루션 단계
(7x4+y)3+c=m
c를 오른쪽으로 이동
(7x4+y)3=m−c
위해서 g3(x)=f(a) 솔루션은 다음과 같습니다 g(x)=3f(a),3f(a)2−1−3i,3f(a)2−1+3i
7x4+y=3m−c해결 :x=73m−c−y,x=−73m−c−y,x=i473m−c−y,x=−i473m−c−y
7x4+y=3m−c2−1+3i해결 :x=47(−c+m)32+y2+y3−c+mcos4arctan(−3−c+m−2y33−c+m)+i47(−c+m)32+y2+y3−c+msin4arctan(−3−c+m−2y33−c+m),x=47(−c+m)32+y2+y3−c+mcos4arctan(−3−c+m−2y33−c+m)+2π+i47(−c+m)32+y2+y3−c+msin4arctan(−3−c+m−2y33−c+m)+2π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−3−c+m−2y33−c+m)+4π+i47(−c+m)32+y2+y3−c+msin4arctan(−3−c+m−2y33−c+m)+4π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−3−c+m−2y33−c+m)+6π+i47(−c+m)32+y2+y3−c+msin4arctan(−3−c+m−2y33−c+m)+6π
7x4+y=3m−c2−1−3i해결 :x=47(−c+m)32+y2+y3−c+mcos4arctan(−−3−c+m−2y33−c+m)+i47(−c+m)32+y2+y3−c+msin4arctan(−−3−c+m−2y33−c+m),x=47(−c+m)32+y2+y3−c+mcos4arctan(−−3−c+m−2y33−c+m)+2π+i47(−c+m)32+y2+y3−c+msin4arctan(−−3−c+m−2y33−c+m)+2π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−−3−c+m−2y33−c+m)+4π+i47(−c+m)32+y2+y3−c+msin4arctan(−−3−c+m−2y33−c+m)+4π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−−3−c+m−2y33−c+m)+6π+i47(−c+m)32+y2+y3−c+msin4arctan(−−3−c+m−2y33−c+m)+6π
해결책은
x=73m−c−y,x=−73m−c−y,x=i473m−c−y,x=−i473m−c−y,x=47(−c+m)32+y2+y3−c+mcos4arctan(−3−c+m−2y33−c+m)+i47(−c+m)32+y2+y3−c+msin4arctan(−3−c+m−2y33−c+m),x=47(−c+m)32+y2+y3−c+mcos4arctan(−3−c+m−2y33−c+m)+2π+i47(−c+m)32+y2+y3−c+msin4arctan(−3−c+m−2y33−c+m)+2π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−3−c+m−2y33−c+m)+4π+i47(−c+m)32+y2+y3−c+msin4arctan(−3−c+m−2y33−c+m)+4π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−3−c+m−2y33−c+m)+6π+i47(−c+m)32+y2+y3−c+msin4arctan(−3−c+m−2y33−c+m)+6π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−−3−c+m−2y33−c+m)+i47(−c+m)32+y2+y3−c+msin4arctan(−−3−c+m−2y33−c+m),x=47(−c+m)32+y2+y3−c+mcos4arctan(−−3−c+m−2y33−c+m)+2π+i47(−c+m)32+y2+y3−c+msin4arctan(−−3−c+m−2y33−c+m)+2π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−−3−c+m−2y33−c+m)+4π+i47(−c+m)32+y2+y3−c+msin4arctan(−−3−c+m−2y33−c+m)+4π,x=47(−c+m)32+y2+y3−c+mcos4arctan(−−3−c+m−2y33−c+m)+6π+i47(−c+m)32+y2+y3−c+msin4arctan(−−3−c+m−2y33−c+m)+6π