- #1
quebecois22
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Homework Statement
Give under the exponential form all non-zero solutions of (z3) + (4conjugate(z2)) = 0
Homework Equations
z=x+iy where i2=-1
zn=rn(cos(nθ)+isin(nθ))
The Attempt at a Solution
First i tried expanding by making z=x+iy so x3+3ix2y+4x2-3xy2-8ixy-iy3-4y2=0, but then I have no idea on how to get the solutions out of this mess.
Then I tried putting it into exponential and using roots:
z3=-4conjugate(z2)
z=(-4)1/3r2/3(cos((2θ+2πk)/3)-sin((2θ+2πk)/3))
And now I have no idea what to do... :S
Thank you for your time