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# help

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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