Thursday, July 16, 2009

Bonus Question 16.07.09

Find the number of solutions in distinct positive  integers of x^4+y^4=z^4

A) 0                 B) 1                  C) 2                         D) 3                E) More than 3

10 comments:

  1. rahul,can u tell the solution of this question

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  2. it's the fermat's last theorem.And no one till date has been able to prove this.

    x^n + y^n = z^n for n>2 (does not hold).

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  3. answer : 0

    yodha' sol sounds correct .

    but in case a person isnot aware of fermat's last theorem then what ??

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  4. the solution is right..
    we do not have a perfect solution for this question.

    but intutively we can solve this

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  5. clearly 0 is a solution

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  6. i would like to clearify that its the fermat rule that
    x^n + y^n = z^n...n>=3 has no sloution...else we can solve it by jst hit n trial and reach the solution

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  7. Fermat's last theorem states that there is no NON trivial solution for the equation written above for n > 2. (0,0,0) is always a solution to such equation for all n>0.

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  8. In Fermat's last theorem n is integer. And it has been proven in 1993 by Andrew Wiles and Richard Taylor.

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  9. intuitively, the fourth powers are 1,16,81,256,... etc.. for bigger numbers the gap between these fourth powers is too huge to be compensated by a smaller fourth power. so this equation can only be fulfilled among the smaller fourth powers. however as is evident from these numbers, no such combination is possible. so 0

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