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1-Suppose-that-a-b-and-c-are-real-numbers-such-that-a-lt-b-lt-c-and-a-3-3a-1-b-3-3b-1-c-3-3c-1-0-Then-1-a-2-b-1-b-2-c-1-c-2-




Question Number 32609 by naka3546 last updated on 01/Apr/18
1. Suppose  that  a, b, and  c  are  real  numbers  such  that  a < b < c  and   a^3  − 3a + 1  =  b^3  − 3b + 1  =  c^3  − 3c + 1 =  0 .      Then   (1/(a^2  + b)) + (1/(b^2  + c)) + (1/(c^2  + a))    can be  written  as   (p/q)   for  relatively  prime  of  positive  integers  p  and   q.   Find   100p + q
1.Supposethata,b,andcarerealnumberssuchthata<b<canda33a+1=b33b+1=c33c+1=0.Then1a2+b+1b2+c+1c2+acanbewrittenaspqforrelativelyprimeofpositiveintegerspandq.Find100p+q

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