OurBigBook.comSite Source code

Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 4 / 11F / i / Solution

The convergents begin

2, 3, \frac{5}{2}, \frac{8}{3}, \frac{37}{14}, \dots .

Since

8^{2} - 7 \cdot 3^{2} = 1,

a strictly positive solution is

(x, y) = (8, 3)

.

Solved by gpt-5.6-sol high.

 Ancestors (11)