3. Find two primitive Pythagorean triangles with hypotenuse 65. Hint: 65 = (8²+1²)² = N(8 + i)N(8+i) = N[(8+i)(8+i)] = -.. and 652 = (7 +4?)? = N(7+ 4i)N(7+4i) N[(7 + 4i)(7+ 4i)] %3D %3D =....
3. Find two primitive Pythagorean triangles with hypotenuse 65. Hint: 65 = (8²+1²)² = N(8 + i)N(8+i) = N[(8+i)(8+i)] = -.. and 652 = (7 +4?)? = N(7+ 4i)N(7+4i) N[(7 + 4i)(7+ 4i)] %3D %3D =....
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 99E
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![3. Find two primitive Pythagorean triangles with hypotenuse 65. Hint: 65 = (8²+1²) :
N(8+ i)N(8+i) = N[(8+i)(8+i)] = -.. and 652 = (7² + 4²)² = N(7+ 4i)N(7+4i)
N[(7 + 4i)(7 + 4i)]
%3D
=...](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d040c73-5bcf-4909-aa2b-abaad050d675%2F599734d8-f9d7-455d-a1a5-01384f230335%2Fb6g2fkq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Find two primitive Pythagorean triangles with hypotenuse 65. Hint: 65 = (8²+1²) :
N(8+ i)N(8+i) = N[(8+i)(8+i)] = -.. and 652 = (7² + 4²)² = N(7+ 4i)N(7+4i)
N[(7 + 4i)(7 + 4i)]
%3D
=...
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