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All zeroes solution (Posted on 2013-09-01) Difficulty: 2 of 5
Let a,b,c be integers such that a^6+2b^6=4c^6

Show that a=b=c=0 is the only possible solution.

No Solution Yet Submitted by Ady TZIDON    
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another Comment 3 of 3 |
Setting one of a,b,c = 0 doesn't give integer solutions. 
For a,b,c > 0 we can assume no common factor >1 since we can always factor it out.
But then a=even which forces b=even which forces c=even which is a contradiction.

  Posted by xdog on 2013-09-02 11:19:26
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