Even/odd proofs: Practice problems Solutions
4. Cool application, II: Quadratic equations with no integer/rational solutions: (a) Prove the following: If a;b;c are odd integers, then the equation ax2 + bx+ c = 0 has no integer solution. [This is the equation considered at the beginning of Chapter 2 of the text and it is a nice illustration of the power of \parity arguments".
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