A point in the complex plane with both coordinates rational is called a rational point. The set of rational points on the unit circle will be denoted by C(Q): C(Q) = {a + bi ∈ C | a, b ∈ Q, and a^2 + b^2 =1}. A triple (a,b,c), where a, b, and c are integers, c != 0, and a^2+b^2 = c^2 is called a Pythagorean triple. Given an element of C(Q), can you construct a Pythagorean triple?
A point in the complex plane with both coordinates rational is called a rational point. The set of rational points on the unit circle will be denoted by C(Q): C(Q) = {a + bi ∈ C | a, b ∈ Q, and a^2 + b^2 =1}. A triple (a,b,c), where a, b, and c are integers, c != 0, and a^2+b^2 = c^2 is called a Pythagorean triple. Given an element of C(Q), can you construct a Pythagorean triple?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 32E: There are two points on the x-axis that are located a distance of 6 units from the points 3,1....
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A point in the complex plane with both coordinates rational is called a rational point. The set of rational points on the unit circle will be denoted by C(Q): C(Q) = {a + bi ∈ C | a, b ∈ Q, and a^2 + b^2 =1}.
A triple (a,b,c), where a, b, and c are integers, c != 0, and a^2+b^2 = c^2 is called a Pythagorean triple. Given an element of C(Q), can you construct a Pythagorean triple?
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