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Quadratic eqution
Quadratic eqution
Source:
February 2, 2006
quadratics
number theory
greatest common divisor
calculus
integration
analytic geometry
conics
Problem Statement
Solve the following equation in integers with gcd (x, y) = 1
x
2
+
y
2
=
2
z
2
x^2 + y^2 = 2 z^2
x
2
+
y
2
=
2
z
2
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