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Let w be non-real fifth root of 3 and x=w^(3)+w^(4). If x^(5)=f(x), where f(x) is real quadratic polynominal, with roots alpha " and " beta, (alpha, beta in C), then determine f(x) and answer the following questions. If alpha and beta are represented by points A and B in argand plane, then circumradius of /_\ OAB, where O is origin, is |
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Answer» `4//5` |
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