Solving Quadratic Equations Review and 3.6 Completing the...
Transcript of Solving Quadratic Equations Review and 3.6 Completing the...
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Warm Up
1. Explain, in your own words, how to solve by taking the square root.
2. Explain, in your own words, the steps to solve by Factoring.
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
What if your equation cannot be factored?
We can solve equations with x2 and we can solve equations that equal 0 and are factorable, but what about something like this?
x2+4x+5=0
We use a combination of both methods and force this to look like a Perfect Square Trinomial
What does a perfect square trinomial look like?
So how do we need to fix x2+4x+5=0?
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Solving by Completing the Square
1) Make your quadratic look like a perfect square trinomial
*If you have a leading coefficient, you should get rid of it by dividing by it
*To find out what the last term should be, you can take the middle term and divide it by 2 and square it
2) Factor your perfect square trinomial into a squared binomial
3) Square root both sides
4) Finish solving it.
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014
Solving Quadratic Equations Review and 3.6 Completing the square.notebookOctober 21, 2014