SOLUTION: If a, b and c in a quadratic equation are all integers, is the product of its solution always rational?(TEXT BOOK)

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Question 383682: If a, b and c in a quadratic equation are all integers, is the product of its solution always rational?(TEXT BOOK)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If you look at the general solutions(from the quadratic formula),
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
The product of the zeros would be,



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Yes, it's the ratio of c and a.