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Describe the locus defined by |z|2-2iz+2t(1+i)=0 where z=x+iy and x, y and t are real numbers For what values of t can x and y be found so that z satisfies the given condition? Thank you very much!

Hello everyone, I'm Octagon. My subjects and aim are in the signature below. Good luck to all of the 2012 HSC'ers :smile:!

A polynomial P(x) is given by P(x)= x5-5px + q, where p and q are real. Prove that P(x) = 0 has 3 distinct real zeros if q4 is less than 256p5. Thnx guys!