Book Maths Puzzle Age Problem

The mathematician Augustus DeMorgan who lived in the nineteenth century stated that he was X years old in the year X to the second power. In what year was he born?

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Book Other Question

A small Texas town has a 30 mph speed limit, and a formula is used for calculating speeding fines. On a recent day, just two tickets were issued. One fine was $58 for driving 35 (y2-y+2)/(y+2)