If z_1 and z_2 are two complex numbers satisfying the equation |z_1+z_2/z_1-z_2|=1, then z_1/z_2 ...

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If Z_1 , Z_2 be two non zero complex numbers satisfying the equation |(Z_1 + Z_2)/(Z_1 - Z_2)|=1... If Z_1 , Z_2 be two non zero complex numbers satisfying the equation |(Z_1 + Z_2)/(Z_1 - Z_2)|=1...
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|z_1*z_2|=|z_1|*|z_2| [Algebraic Proof, Further Pure Mathematics - Complex Numbers] |z_1*z_2|=|z_1|*|z_2| [Algebraic Proof, Further Pure Mathematics - Complex Numbers]
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Prove that |z_1+z_2 |^2= |z_1 |^2+|z_2 |^2+2Re(z_1 z_2^* ) Complex Numbers Modulus Properties Prove that |z_1+z_2 |^2= |z_1 |^2+|z_2 |^2+2Re(z_1 z_2^* ) Complex Numbers Modulus Properties
Q) Let 𝑧_1 and 𝑧_2 be two complex number such that 𝑧_1+𝑧_2=5 and 𝑧_1^3+𝑧_2^3=20+15𝑖.Then Q) Let 𝑧_1 and 𝑧_2 be two complex number such that 𝑧_1+𝑧_2=5 and 𝑧_1^3+𝑧_2^3=20+15𝑖.Then