Solved: Prove that there are infinitely many solutions in
Chapter 1, Problem 1.7.30(choose chapter or problem)
Prove that there are infinitely many solutions in positive integers x, y, and z to the equation x2 + y2 = z2. [Hint: Let x = m2 - n2, y = 2mn, and z = m2 + n2, where m and n are integers.]
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