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Section 1.5 Quadratic Equations

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Presentation on theme: "Section 1.5 Quadratic Equations"— Presentation transcript:

1 Section 1.5 Quadratic Equations


3 Solving Quadratic Equations by Factoring



6 Example Solve by factoring:

7 Example Solve by factoring:

8 Example Solve by factoring:

9 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.

10 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.

11 Solving Quadratic Equations by the Square Root Property


13 Example Solve by the square root property:

14 Example Solve by the square root property:

15 Completing the Square


17 Why we call this completing the square.

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

19 Example Solve by Completing the Square:

20 Example Solve by Completing the Square:

21 Solving Quadratic Equations Using the Quadratic Formula


23 Example Solve by using the Quadratic Formula:

24 The Discriminant


26 Example Compute the discriminant and determine the number and type of solutions:

27 Determining Which Method to Use


29 Applications



32 Example

33 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

34 (a) (b) (c) (d)

35 (a) (b) (c) (d)

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