is called a quadratic equation if . Which of the following statements is/are true concerning quadratic equations?
A quadratic equation always has distinct roots.
If and are all odd numbers, it is possible for to have a rational solution.
If has real solutions and , then both solutions must be negative.
Note: This problem is a part of the set "I Don't Have a Good Name For This Yet". See the rest of the problems here. And when I say I don't have a good name for this yet, I mean it. If you like problems like these and have a cool name for this set, feel free to comment here.