Using the Quadratic Formula to Solve Quadratic Equations Section 9.6 Using the Quadratic Formula to Solve Quadratic Equations

Formula The solutions of the quadratic equation are given by the quadratic formula:

Quadratic Formula Common Error The Quadratic Formula Quadratic Formula Common Error Warning Solve Example

Solving by Using the Quadratic Formula Solution

Solving by Using the Quadratic Formula Example Solve Write in the form Solution

Write in the form Solution: The Quadratic Formula Solving by Using the Quadratic Formula Solution Continued Write in the form Solution:

Solving by Using the Quadratic Formula Example Solve Solution

Solving by Using the Quadratic Formula Solution Continued Example

Example Solution Solve Solving a Quadratic Equation That Has Imaginary-Number Solutions Solving by Using the Quadratic Formula Example Solve Solution

Determining the Number of Real-Number Solution Determining the Number and Type of Solutions Process For the quadratic equation , the discriminant is Also, • If b2 − 4ac > 0, there are two real-number solutions • If b2 − 4ac = 0, there is one real-number solution • If b2 −4ac < 0, there are two imaginary-number solutions (and no real-number solutions)