This week we learned discriminants. A discriminant is a part of the quadratic formula and can determine the number of solutions in a quadratic equation without solving the equation.The solution(s) to a quadratic equation can be calculated using the **Quadratic Formula**:

The “±” means you need to do a plus AND a minus, so there are normally TWO solutions

The blue part (**b ^{2} – 4ac**) is called the “discriminant”, because it can “discriminate” between the possible types of answer. If it is positive, you will get two normal solutions (two real roots), if it is zero you get just ONE solution (one root), and if it is negative you get

*imaginary*solutions (unreal roots).

that is what I learned from week 7