Let f (X) = X-n - BX + A is an element of Z[X], where AB not equal 0. In this paper, using a lower bound for two logarithms in the complex case, we prove that if n > 40,000 and f (X) has an irreducible quadratic factor in Z[X], then vertical bar B vertical bar <= vertical bar A vertical bar(3/2) and vertical bar A vertical bar <= vertical bar B vertical bar(3/2).
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