Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.

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Presentation transcript:

Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.

Solve the quadratic equation by factoring. i.e. x 2 – 6x + 3 = 0 Quadratic Formula To find the roots or zeros or solutions of any quadratic equation, you can use the Quadratic Formula. The Quadratic Formula is:

Ex.1: Find the roots of x 2 – 6x + 3. Ex.2: Solve 2x 2 – 7 = x using the Quadratic Formula. Use the Quadratic Formula to solve the equation. Ex.3: x 2 – 8x + 16 = 0 Ex.4: x 2 – 5x = -21 Ex.5: 4z 2 = 7z + 2 Ex.6: 3x 2 – 1 = x

Find the roots of the quadratic equation. Ex.7: x 2 + 4x – 1 Ex.8: x 2 + 8x + 1 Methods for Solving Quadratic Equations: 1.Factoring 2.Graphing 3.Finding Square Roots 4.Quadratic Formula 5.Completing the Square

Ex.9: Tell what method(s) you would use to solve the quadratic equation. Explain your choice(s). a. 10x 2 – 7 = 0 b. x 2 + 4x = 0 c. 5x 2 + 9x – 4 = 0 d. x 2 + x – 6 = 0 e. x 2 – 9 = 0 f. x 2 + 6x = 5