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Here are $n$ quadratic equations ($n>1$): $$x^2-a_ix+b_i=0\quad(i=1,\ldots, n)$$ where the $a_i$, $b_i$ are distinct. Can all of the $a_i,b_i$ be roots of one of the above equations?

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    Please consider accepting some of the answers to your previous questions as a thank you to the ones who helped you.2012-07-29
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    I've edited your question to more clearly express what I think you mean. If I interpreted your question incorrectly, please edit it again to clarify what you meant.2012-07-29
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    **People who downvote: please provide feedback to OP. S/he might be oblivious to why his/her question needs improvement.**2012-07-30
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    @J.D. OP.S?Sorry ,I don't understand you.2012-07-31
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    @tan9p OP: means "original poster." My comment is directed to users who downvoted your question without leaving feedback.2012-07-31

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