Question #6fac0

1 Answer
Jul 31, 2017

z = 0 and i^(1/3)i13

Explanation:

z^4 +iz = 0z4+iz=0 can be solved by factoring.
first you can factor out a z
z(z^3+i) = 0z(z3+i)=0
second you find the zeros by finding the values where z = 0.
Since z is multiplied by the term (z^3+i)(z3+i) we know the answer will be true because when z = 0 the other 0 is when z^3z3 = -i thus z = cubed root of i which can be written as i ^(1/3)i13

z = 0 and i^(1/3)i13