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If z=((sqrt(5))/(2)+(i)/(2))^(5)+((sqrt(...

If `z=((sqrt(5))/(2)+(i)/(2))^(5)+((sqrt(5))/(2)-(i)/(2))^(5)`, the prove that `Im(z)=0`.

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[(sqrt(5)+(i)/(2))(sqrt(5)-i2)]-:(6+i5)

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