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Math Help - amazing problem

  1. #1
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    amazing problem

    a,b,c are 3 real nos. Prove that the 3 numbers a^2+b+c, b^2+a+c, c^2+a+b cannot be perfect squares altogether.
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  2. #2
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    Re: amazing problem

    can you explain what you mean a little more? like, what do you mean by altogether?
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  3. #3
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    Re: amazing problem

    I believe he means "cannot all be perfect squares".

    geniusgarvil seems to have a "genius" for posting problems that are "amazing" only because they are wrong. In this case, a= b= c= -1+\sqrt{5}
    have a^2+ b+ c= b^2+ a+ c= c^2+ a+ b= 4.
    Last edited by HallsofIvy; September 15th 2012 at 12:14 PM.
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  4. #4
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    Re: amazing problem

    Quote Originally Posted by geniusgarvil View Post
    a,b,c are 3 real nos. Prove that the 3 numbers a^2+b+c, b^2+a+c, c^2+a+b cannot be perfect squares altogether.
    a = b = c = 0. 0 is a perfect square. Hmm.
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