Return to Assignments Quadratic equations (abc-formula)

### Assignment 8

For which value(s) of does the equation:

have two different solutions .

### Solution

In order to find out whether a quadratic equation has two different solutions, one (or two coinciding) solution or no (real) solution at all, we have to look at the discriminant. In this case we have:

If the equation must have two different solutions the discriminant has to satisfy:

or: