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Find all ordered pairs of real numbers (x,y) that satisfy x + y + sqrt(x + y) = 56 and x - y + sqrt(x - y) = 30.

 Dec 9, 2019
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I could find only one such pair !!.

 

a=1; b=-100;c=(a+b+sqrt(a+b);d=(a-b)+sqrt(a-b); if(c==56 and d==30, goto5, goto6);printa, b; a++;if(a<100, goto2, 0);a=1;b++;if(b<100, goto2, discard=0

 

a = 37   and    b = 12

 Dec 9, 2019

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