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An optimistic mathematician
According to the meaning of the question, the British mathematician De? Morgan is X years old in x2, that is, the square of his age should be18×××× year.

422= 1764, which does not meet the meaning of the question;

432= 1849, in line with the meaning of the question;

That is, when he was 43 years old, he was 1849, so his birth year was1849-43 =1806;

A: He was born in 1806.

So the answer is: 1806.