Find the smallest positive integer a greater than 1000, such that the equation \(\sqrt{a - \sqrt{a + x}} = x\) has a rational root.
a=1000; b=30;c=2#(a - 2#(a+b)); if(c==b, goto4, goto5);printc, a, b; a++;if(a<2000, goto2, 0);a=1000;b++;if(b<1000, goto2, discard=0;
OUTPUT: a = 1057 and x = 32
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Whoever posted that has less than half a brain, because 84 is not greater than 1000.
