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 =....

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
=...
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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