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

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) (Show Source): You can put this solution on YOUR website!
If you look at the general solutions(from the quadratic formula),

The product of the zeros would be,

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

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