5.8 The Quadratic Formula Objectives: 1. To solve quadratic equations by using the Quadratic Formula 2. To determine types of solutions by using the discriminant.

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5.8 The Quadratic Formula Objectives: 1. To solve quadratic equations by using the Quadratic Formula 2. To determine types of solutions by using the discriminant.

Quadratic Formula

How did we come up with this Quadratic Formula???

Example 1: Solve by using the quadratic formula.

Trivia… 1.What state has the nickname "The Sunshine State?" Florida 2. The Mall of America is located in which state? Minnesota 3. What number did Michael Jordan wear when he first returned to the Bulls in 1995? 45

Discriminant Value of the Discriminant Type & # of Solutions Examples of Graphs 2 REAL Solutions 1 REAL Solution No Real Solutions – 2 Imaginary Solutions

Example 2: Evaluate the discriminant of each quadratic. Tell how many solution each equation has and whether the solutions are real or imaginary.

You try… Evaluate the discriminant of each quadratic. Tell how many solution each equation has and whether the solutions are real or imaginary. Then find the solutions.

Homework  P – 21 odd, 31 – 39 odd