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Section 1.5 Quadratic Equations

Section 1.5 Quadratic Equations. Solving Quadratic Equations by Factoring. Example. Solve by factoring:. Example. Solve by factoring:. Example. Solve by factoring:. Graphing Calculator.

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Section 1.5 Quadratic Equations

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  1. Section 1.5Quadratic Equations

  2. Solving Quadratic Equations by Factoring

  3. Example Solve by factoring:

  4. Example Solve by factoring:

  5. Example Solve by factoring:

  6. Graphing Calculator The real solutions of a quadratic equation ax2+bx+c=0 correspond to the x-intercepts of the graph. The U shaped graph shown below has two x intercepts. When y=0, the value(s) of x will be the solution to the equation. Since y=0 these are called the zeros of the function.

  7. Solving Polynomial Equations using the Graphing Calculator By pressing 2nd Trace to get Calc, then the #2,you get the zeros. It will ask you for left and right bounds, and then a guess. For left and right bounds move the blinking cursor (using the arrow keys-cursor keys) to the left and press enter. Then move the cursor to the right of the x intercept and press enter. Press enter when asked to guess. Then you get the zeros or solution. Repeat this process for each x intercept.

  8. Solving Quadratic Equations by the Square Root Property

  9. Example Solve by the square root property:

  10. Example Solve by the square root property:

  11. Completing the Square

  12. Why we call this completing the square.

  13. Example What term should be added to each binomial so that it becomes a perfect square trinomial? Write and factor the trinomial.

  14. Example Solve by Completing the Square:

  15. Example Solve by Completing the Square:

  16. Solving Quadratic Equations Using the Quadratic Formula

  17. Example Solve by using the Quadratic Formula:

  18. The Discriminant

  19. Example Compute the discriminant and determine the number and type of solutions:

  20. Determining Which Method to Use

  21. Applications

  22. Example

  23. Example A 42 inch television is a television whose screen’s diagonal length is 42 inches. If a television’s screen height is 26 inches, find the width of the television screen 42 inches 26 inches

  24. (a) (b) (c) (d)

  25. (a) (b) (c) (d)

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