 • Slides: 39  Concepts 1. Solve Quadratic Equations by Using the Zero Product Property 2. Solve Quadratic Equations by Using the Square Root Property 3. Complete the Square 4. Solve Quadratic Equations by Using the Quadratic Formula 5. Use the Discriminant 6. Solve an Equation for a Specified Variable Solve Quadratic Equations by Using the Zero Product Property If mn = 0, then m = 0 or n = 0 Example 1: Solve Example 2: Solve  Concepts 1. Solve Quadratic Equations by Using the Zero Product Property 2. Solve Quadratic Equations by Using the Square Root Property 3. Complete the Square 4. Solve Quadratic Equations by Using the Quadratic Formula 5. Use the Discriminant 6. Solve an Equation for a Specified Variable Solve Quadratic Equations by Using the Square Root Property Example 3: Solve Example 4: Solve Example 5: Solve  Concepts 1. Solve Quadratic Equations by Using the Zero Product Property 2. Solve Quadratic Equations by Using the Square Root Property 3. Complete the Square 4. Solve Quadratic Equations by Using the Quadratic Formula 5. Use the Discriminant 6. Solve an Equation for a Specified Variable Complete the Square Step 1 Divide both sides by a to make the leading coefficient 1. Step 2 Isolate the variable terms on one side of the equation. Step 3 Complete the square. Add the square of one-half the linear term coefficient to both sides. Factor. Step 4 Apply the square root property and solve for x. Example 6: Solve Step 1 Step 2 Step 3 Step 4 Example 7: Solve Example 8: Solve    Concepts 1. Solve Quadratic Equations by Using the Zero Product Property 2. Solve Quadratic Equations by Using the Square Root Property 3. Complete the Square 4. Solve Quadratic Equations by Using the Quadratic Formula 5. Use the Discriminant 6. Solve an Equation for a Specified Variable  Example 9: Solve Example 9 continued: Solve (compare to completing the square)   Concepts 1. Solve Quadratic Equations by Using the Zero Product Property 2. Solve Quadratic Equations by Using the Square Root Property 3. Complete the Square 4. Solve Quadratic Equations by Using the Quadratic Formula 5. Use the Discriminant 6. Solve an Equation for a Specified Variable Use the Discriminant is called the discriminant. Use the Discriminant is zero � 1 real solution Use the Discriminant is positive � 2 real solutions Use the Discriminant is negative � 2 imaginary solutions  Concepts 1. Solve Quadratic Equations by Using the Zero Product Property 2. Solve Quadratic Equations by Using the Square Root Property 3. Complete the Square 4. Solve Quadratic Equations by Using the Quadratic Formula 5. Use the Discriminant 6. Solve an Equation for a Specified Variable Example 10: Solve for a Example 11: Solve for x  Example 12: Solve for y Example 12 continued: 