2012 AIME II Problems/Problem 6
Let z=a+bi be the complex number with |z|=5 and b>0 such that the distance between (1+2i)z3 and z5 is maximized, and let z4=c+di. Find c+d
Let z=a+bi be the complex number with |z|=5 and b>0 such that the distance between (1+2i)z3 and z5 is maximized, and let z4=c+di. Find c+d
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