Pre Calculus
posted by Josh on .
find all solutions of the equation
1. x^3+27=0
2. x^38=0

27+0 i = 27 e^i(0) = 27 cos 0 + i sin 0
27^(1/3)=3e^0 or 3e^i(2pi/3) or 3e^(4 pi/3)
= 3
or
= 3 cos 120 + 2i sin 120
= 1.5 + i sqrt 3
or
= 1.5  i sqrt 3