# 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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#### Solution Preview

Solution:

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

r+s=b

...

#### Solution Summary

This is a proof regarding rational solutions to quadratic equations.

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