Do You Know About Roots?Algebra Level 4
\(ax^2+bx+c=0\) is called a quadratic equation if \(a\neq 0\). Which of the following statements is/are true concerning quadratic equations?
\(\) A quadratic equation always has \(2\) distinct roots.
\(\) If \(a, b\) and \(c\) are all odd numbers, it is possible for \(ax^2+bx+c=0\) to have a rational solution.
\(\) If \(ax^2+bx+c=0\) has real solutions and \(a, b, c > 0\), 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.