The Quadratic Formula and the Discriminant

The Discriminant

The Discriminant The Discriminant is: Way to solve: Number and kind of solutions Positive and Square Factor 2 Rational Zero 1 Rational Positive not square Quadratic formula or Complete the square 2 Irrational Negative Don’t solve Imaginary Solutions

Picture: Positive Discriminant 2 Real Solutions

Picture: Zero Discriminant 1 Real Solution

Picture: Negative Discriminant 0 Real Solution. 2 Complex Solutions.

Using the discriminant

Using the discriminant

Using the discriminant

Using the discriminant

Using the discriminant

Using the discriminant

Using the discriminant

Worksheet If the discriminant is positive and not square alternate complete the square and quadratic formula.