It is given that a polynomial with rational coefficients has n real roots.
One of them is 1+√5
Prove that 1-√5 is another root!
Please realise that the implication of this are very huge and very very important in guessing second roots in IIT JEE examination....
Please try to prove and understand the above.
Hint: How do you prove that complex conjugates appear in pairs?
btw : do read post 17.. that was the question i was saying that got butchered!
Mistake: Does x3+2 have 2 irrational pair of roots? Well this holds only for even powers.
Is the above mistake the end of it all? Well I got excited in posting this question. I was sure I wud manage a proof ;)
but the fact is that even if I dont.. then This is a must know for exams :)
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