SOLUTION: what type and how many solutions will a quadratic equation have when the discriminant is a perfect square? A non-perfect square?

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Question 561564: what type and how many solutions will a quadratic equation have when the discriminant is a perfect square? A non-perfect square?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
If the discriminant (b^2 - 4ac) is a perfect square, then the solutions will be in the form

where k is an integer.

We can't really say much about the nature of the solutions (we do know that there are two real solutions) but we can't conclude that the roots have to be integers (or even rational).