If the quadratic takes rational values for more than two rational values of x, then show that a, b, c are all rational numbers.
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Hi, Originally Posted by alexmahone If the quadratic takes rational values for more than two rational values of x, then show that a, b, c are all rational numbers. We know that there exist three distinct rational numbers such that where and are also rational numbers. If you solve these three equations for , and you'll see that these numbers are rational too.
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