diff --git a/src/algebra/continued-fractions.md b/src/algebra/continued-fractions.md
index 3f4ca46b2..c0c5a97fe 100644
--- a/src/algebra/continued-fractions.md
+++ b/src/algebra/continued-fractions.md
@@ -679,12 +679,12 @@ One can further prove (and it was first done by Lagrange) that for arbitrary qua
# compute the continued fraction of sqrt(n)
def sqrt(n):
n0 = math.floor(math.sqrt(n))
- x, y, z = 0, 1, 1
+ x, y, z = 1, 0, 1
a = []
def step(x, y, z):
a.append((x * n0 + y) // z)
t = y - a[-1]*z
- x, y, z = z*t, -z*y, t**2 - n*x**2
+ x, y, z = -z*x, z*t, t**2 - n*x**2
g = math.gcd(x, math.gcd(y, z))
return x // g, y // g, z // g
pFad - Phonifier reborn
Pfad - The Proxy pFad of © 2024 Garber Painting. All rights reserved.
Note: This service is not intended for secure transactions such as banking, social media, email, or purchasing. Use at your own risk. We assume no liability whatsoever for broken pages.
Alternative Proxies:
Alternative Proxy
pFad Proxy
pFad v3 Proxy
pFad v4 Proxy