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two complex numbers Z and W are related by the formula W=(Z+1)/(1-Z) what is W if Z=1.5i? t...

Let a,b,c be complex numbers satisfying a+b+c=abc=1 and (ab+bc+ac)/3=(1/a^2)+(1/b^2)+(1c^2)...

Let z and w be complex numbers such that |z| = |w| = 1 and zw does not equal -1. Prove that (z + w)...

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For all complex numbers z, let f(z) = z^2 if z is not real, and f(z) = -z^2 if z is real. Find f(f(...

Let u and w be complex numbers such that |u|=5, |w|=3, and |u+w|=6. Calculate |u+2w| with proof.

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