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Find the smallest positive integer \(a\), greater than 1000, such that the equation \(\sqrt{a - \sqrt{a + x}} = x\) has a rational root.

 Mar 1, 2019
 #1
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Not very good with these, but it might be 1296

 Mar 2, 2019
 #2
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sqrt(1902 - sqrt(1902 + 907)) =43, where a=1902 and x=907

 Mar 2, 2019

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