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Find all ordered pairs of positive integers (x,y) that satisfy x^2 + y^2 - xy = 49.

 Dec 14, 2019
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a=0;b=0;p=0; cycle:d=a*10+b;if(a^2+b^2 - a*b==49, goto loop, goto next); loop:printd,", ",;p=p+1; next:b++;if(b<10, goto cycle, 0);b=0;a++;if(a<10, goto cycle, 0);print"Total = ",p

 

x                y

7                7

3                8

5                8

7                0

8               3

8               5

 Dec 14, 2019

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