Complex Numbers Proof.

[TheWrathOfMath]

Given: w=(1+z)/(1-z), z=/=1 and is complex.

Prove: Re(w) is greater than or equal to zero if and only if |z| is less than or equal to one.

 

[Deleted member 4993]

Given: w=(1+z)/(1-z), z=/=1 and is complex.

Prove: Re(w) is greater than or equal to zero if and only if |z| is less than or equal to one.

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