Friday, September 12, 2008

Problem Of The Week 13

Suppose we have 3 real numbers x,y and z such that x^3=3y-2, y^3=3z-2 and z^3=3x-2 . Find the number of triplets of (x,y,z) which exist?




A) 0     B) 1                         C)  2          D) 3                E) None of these
Posted by Unknown at 4:43 PM
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2 comments:

  1. AnshulSeptember 17, 2008 at 12:05 PM

    we can see that x=y=z ....

    and possibly ... (x,y,z) can have 2 values (1,1,1) and (-2,-2,-2)
    (by hit and try)

    ReplyDelete
  2. ushaSeptember 24, 2008 at 5:35 PM

    (x,y,z) can have 2 values (1,1,1) and (-2,-2,-2)
    (by trial and error)

    ReplyDelete

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