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    Discrete structures

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    .Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.

    Prove that if one solution to a quadratic equation of the form x^2+bx+c=0 is rational (where b and c are rational), then the other solutions is also rational. (Use the fact that if the solutions of the equation are r & s, then x^2+bx+c=(x-r)(x-s).)

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    Since x^2+bx+c=(x-r)(x-s), then we got:

    Solution Summary

    This is a proof regarding rational solutions to quadratic equations.