Pell's Equation
Solve .Give 3 positive solutions.
First step:
Find the continued expansion of
thus,
Second step:
Since n=2 and it is even, the solutions are
where k=1,2,3...
Thus,
.
.
.
are the positive solutions.
Third step:
Calculate the value of the numerator and denominator,
So,the answers for 3 positive solutions of are
, ,
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