Solução
resolver para x,(7x4+y)3+c=m
Solução
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
Passos da solução
(7x4+y)3+c=m
Mova cpara o lado direito
(7x4+y)3=m−c
Para g3(x)=f(a) as soluções são g(x)=3f(a),3f(a)2−1−3i,3f(a)2−1+3i
Resolver 7x4+y=3m−c:x=73m−c−y,x=−73m−c−y,x=i473m−c−y,x=−i473m−c−y
Resolver 7x4+y=3m−c2−1+3i: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
Resolver 7x4+y=3m−c2−1−3i: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
As soluções são
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