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18.03.2013

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1...2 

, .

: 89.


, n 21n + 4 14n + 3 .

: . , 1.


x4 + 2x7y - x14 - y2 = 7 .

: x4 - (x7 - y)2.

: (x; y) (2; 131), (2; 125), (-2; -131), (-2; -125).


xy = x + y .

: (x; y) (2; 2), (0; 0).


1/x + 1/y = 1/5 .

: (x; y) (30; 6), (6; 30), (4; -20), (-20; 4), (10; 10).


, x2 + y2 + z2 = 2xyz :
x = y = z = 0.

: - x, y, z .


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