Download presentation

Presentation is loading. Please wait.

Published byLouise Kelly Modified over 4 years ago

1
Lesson 1-6 Solving Quadratic Equations

2
Objective:

3
To solve quadratic equations using different methods.

4
Quadratic Equation:

5
Any equation that can be written in ax 2 + bx + c = 0 form.

6
Three methods for solving quadratic equations:

7
1)Factoring.

8
Three methods for solving quadratic equations: 1)Factoring. 2)Completing the square.

9
Three methods for solving quadratic equations: 1)Factoring. 2)Completing the square. 3)Quadratic formula.

10
Solve by factoring:

11
Solve by completing the square:

12
Solve by using the Quadratic Formula:

13
Quadratic Formula:

14
The discriminant is the expression which is under the radical.

15
Quadratic Formula: The discriminant is the expression which is under the radical. The discriminant tells us something special about the roots (x- intercepts) and the solutions (roots and zeros).

16
Quadratic Formula:

17
If there will exist 2 complex conjugate roots.

18
Quadratic Formula: If there will exist 2 complex conjugate roots. If there will exist 1 real root called a double root.

19
Quadratic Formula: If there will exist 2 complex conjugate roots. If there will exist 1 real root called a double root. If there will exist 2 distinct real roots.

20
Helpful Hints when Solving Equations:

21
If a, b, and c are integers, and if b 2 - 4ac is a perfect square, then factor.

22
Helpful Hints when Solving Equations:

23
If neither of those two cases work, then use the quadratic formula.

24
Two Special Circumstances to Look For:

25
Losing a Root

26
Two Special Circumstances to Look For: Losing a Root Gaining a Root

27
Losing a Root:

28
Gaining a Root: (Check for Extraneous Roots)

29
Assignment: Pgs. 34-35 C.E. 1-19 all, W.E. 1-19 odd

Similar presentations

© 2020 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google