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Problem Of The Week 13

with 2 comments


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

Written by Implex

September 12, 2008 at 11:13 am

2 Responses

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  1. 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)

    Anshul

    September 17, 2008 at 6:35 am

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

    usha

    September 24, 2008 at 12:05 pm


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