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Anyone teaching A-Level FP1? Can you please help me with this question?

Discussion in 'Mathematics' started by worldcitizen, Apr 30, 2012.

  1. The roots of the equation x^3 + ax + b = 0 are A, B and C. Find the equation with roots A/C + C/B, C/A +A/B and A/B + B/A.
    Thanks.

     
  2. afterdark

    afterdark Occasional commenter

    are you sure about the last root?
    shouldn't it be A/B + B/C ?


     
  3. You may be right. so it must be a misprint in the book. it is in OCR PF1 book.
     
  4. No they don't work. It has to be more than cyclical symmetry - silly old me.
    I think the only combinations that could work are A/B + B/A; B/C + C/B; C/A + A/C.
     

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