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a^{2007} = a + 1 and b^{4014} = b + 3a

Source: Indian Postal Coaching 2007 set 6 p3

May 25, 2020
algebrainequalities

Problem Statement

Let aa and bb be two positive real numbers such that a2007=a+1a^{2007} = a + 1 and b4014=b+3ab^{4014} = b + 3a. Determine whether a>ba > b or b>ab > a.
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