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Ifz(1),z(2)inC,z(1)^(2)+z(2)^(2)inR,z(1)...

If`z_(1),z_(2)inC,z_(1)^(2)+z_(2)^(2)inR,z_(1)(z_(1)^(2)-3z_(2)^(2))=2` and `z_(2)(3z_(1)^(2)-z_(2)^(2))=11,` the value of `z_(1)^(2)+z_(2)^(2)` is

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