1 / 18

Completing the Square: Solving Quadratic Equations

Learn how to complete the square to solve quadratic equations, including special cases and complex solutions. Find the vertex form, factor perfect square trinomials, and simplify expressions.

leonat
Télécharger la présentation

Completing the Square: Solving Quadratic Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 2.1.8 Completing the Square Essential Questions: How do you complete the square and use it for solving?

  2. Solving with special cases

  3. Main Idea & Vocabulary • Today, we are going to learn another way to solve for the zeros of a quadratic equation. • Today, the c value is missing. • When completing the square, you add a term to the expression x2 + bx so you make a perfect square trinomial. • Formula to complete the square:

  4. Completing the Square

  5. Ex 1-Completing the Square

  6. Solve by Completing the Square Step 1: Use form x2 + bx = c (never have an a) Step 2: Find (b/2)2 Step 3: Complete the square by adding it to the equation Step 4: Factor the trinomial Step 5: Solve the equations

  7. Completing the square

  8. Complex Solutions

  9. Completing the square

  10. Completing the Square

  11. Completing the square

  12. Vertex Form • Complete the square for vertex form • Factor out a, if a is not 1 • Complete the square • Balance the equation by doing the opposite amount on the same side • Factor the perfect square trinomial • Simplify

  13. Completing the square

  14. Application

  15. Application

  16. Summary • Answer the essential question in detailed, complete sentences. How do you complete the square and use it for solving? • Write 3-5 study questions in the left column to correspond with the notes.

More Related