The formula requires you to take the square root of the expression b2 - 4ac, which is called the discriminant because it determines the nature of the solutions. For example, you can't take the square root of a negative number, so if the discriminant is negative then there are no solutions.
| If b2 - 4ac > 0 | There are two distinct real roots |
| If b2 - 4ac = 0 | There is one real root |
| If b2 - 4ac < 0 | There are no real roots |
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