Asked by Rawda
Find two distinct complex numbers W and Z such that W²=Z and Z²=W.
Answers
Answered by
oobleck
since z^2 = w,
w^2 = z^4 = z
z^4 - z = 0
z(z^3-1) = 0
z(z-1)(z^2+z+1) = 0
Now just solve the quadratic as usual.
w^2 = z^4 = z
z^4 - z = 0
z(z^3-1) = 0
z(z-1)(z^2+z+1) = 0
Now just solve the quadratic as usual.
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