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Unformatted text preview: T = ( xy,yz,zx ), where x , y and z are complex numbers satisfying the simultaneous equations x ( x1) + 2 yz = y ( y1) + 2 zx = z ( z1) + 2 xy, and list all such triples T . [Putnam Exam, 1986, B2] Exercise 5. Find all positive integers n,k 1 ,...k n such that k 1 + k n = 5 n4 1 k 1 + 1 k n = 1 . [Putnam Exam, 2005, B2]...
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 Fall '10
 RyanDaileda
 Real Numbers, Equations

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