STANDARD 8: SOLVING QUADRATIC EQUATIONS
Solutions: The x-value when y equals zero. Three other words for solutions are x-intercepts, zeros or roots.
Solving by Factoring
How to solve by factoring:
1. Factor the quadratic completely
2. Set each of the factors equal to zero
3. Solve
4. You can check your solutions by substituting them into the original equation, and you should get out '0'
See this example: http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/solve-by-factoring.php
1. Factor the quadratic completely
2. Set each of the factors equal to zero
3. Solve
4. You can check your solutions by substituting them into the original equation, and you should get out '0'
See this example: http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/solve-by-factoring.php
Solving by Completing the Square
How to:
1. Divide all terms by a if a does not equal one
2. Move the c value to the right side
3. Add (b/2)squared to both sides
4. Factor the left hand side (should be a perfect square)
5. Take the square root of both sides.
6. Solve (you should get two solutions)
Watch the video: http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/completing-the-square-solution-example.php
1. Divide all terms by a if a does not equal one
2. Move the c value to the right side
3. Add (b/2)squared to both sides
4. Factor the left hand side (should be a perfect square)
5. Take the square root of both sides.
6. Solve (you should get two solutions)
Watch the video: http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/completing-the-square-solution-example.php
Solving by the Quadratic Formula
How to:
1. Put the equation in standard form
2. Identify a, b, c
3. Solve (there should be two solutions)
Watch this video: http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/quadratic-formula-definition.php
1. Put the equation in standard form
2. Identify a, b, c
3. Solve (there should be two solutions)
Watch this video: http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/quadratic-formula-definition.php
here's the song to help you remember!http://www.schooltube.com/video/adabcffde14c17b9c412/Quadratic%20Formula%20Song%20Rockford%20Christian
The Discriminant
Standard 8 Practice | |
File Size: | 87 kb |
File Type: | png |