Augustus De Morgan was alive during the nineteenth century and once wrote, "I was x years old in the year x^2." what was the year of his birth?

How do you even figure this out? Where do you even start?:confused:

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- Sep 27th 2006, 04:19 AMt-leeI'm so lost...please help?!
Augustus De Morgan was alive during the nineteenth century and once wrote, "I was x years old in the year x^2." what was the year of his birth?

How do you even figure this out? Where do you even start?:confused: - Sep 27th 2006, 05:22 AMSoroban
Hello, t-lee!

Quote:

Augustus De Morgan was alive during the nineteenth century

and once wrote, "I was x years old in the year x^2."

What was the year of his birth?

How do you even figure this out? Where do you even start?

If you're waiting for a magical "Squared-age Formula", better sit down.

I assume that he was born in the 1800's.

. . Hence: .x² > 1800

Care to try some numbers?

- Sep 27th 2006, 08:53 AMt-lee
Once I start putting numbers into x^2 > 1800 what am I looking for? I am confused with that. I realize I'm looking for the year he was born, but how do I know when I have found it?

- Sep 27th 2006, 09:46 AMtopsquark
- Sep 27th 2006, 09:52 AMt-lee
Tell me if I'm close or right on this...

is 42^2 = 1764

43^2 = 1849

44^2 = 1936

So he was 43 (x years old) in the yeas 1849 (x^2) - Sep 27th 2006, 09:59 AMThePerfectHacker
- Sep 27th 2006, 12:31 PMCaptainBlack
- Sep 27th 2006, 12:55 PMt-leeThanks
I figure that the year he was born was 1806

If I subtract 1849 from his age of 43.

Thank you all so much for your help!:)

t-lee