where a does not equal 0, can have more than one solution. Using the

discriminant and graph of a quadratic equation, how can you tell how many real

solutions a quadratic equation will have?

For an equation in standard form

**A**x^{2} +** B**y +** C** = 0

The discriminant D is given by

**D = B ^{2} - 4AC**

For D > 0 ==> two real solutions

D < 0 ==> two complex solutions (involving imaginary numbers)

D = 0 ==> one real solution