00:01
Okay, so here we have x squared minus 17 y squared is equal to 1.
00:06
So if it's just substitute in y is equal to 1 here, we get x squared minus 17 is equal to negative 1, giving us that x squared is equal to 16.
00:21
So therefore, that x is then going to be equal to positive or negative 4.
00:31
Okay.
00:32
Now, the two solutions here are going to be negative 4, 1, and 4 .1.
00:39
So we have our two solutions, negative 4, 1, and 4, comma, 1.
00:49
Okay.
00:50
Now, using continued fractions, well, again, we get x squared minus 17, y, equals equal to negative 1, solving for y squared.
00:58
We did y squared equal to 117th times the quantity x squared plus 1...