Solving Quadratic Equations Quadratic Formula Medina Revised 22614

Solving Quadratic Equations Quadratic Formula Medina (Revised 2/26/14 ep) 1

Quadratic Formula Song https: //www. youtube. com/watch? v=2 lb. ABbf. U 6 Zc

Solving Quadratic Equations by using the Quadratic Formula Any quadratic equation can be solved using the Quadratic Formula we just have to remember to

Analyzing the Discriminant It is this part of the quadratic formula that will enable you to DETERMINE the…. number of solution(s) a quadratic equation has. Positive Value in the discriminant: Means there are 2 solution(s). ★ If discriminant is a perfect square, the quadratic is factorable and if the discriminant is not a perfect square, it is best to use quadratic formula to find the 2 solutions ZERO: Means there are 1 solution. Negative Value: Means there is no real solution

Discriminant vs. ¡ Quadratic Formula ¡ https: //www. youtube. com/watch? v=2 lb. ABbf. U 6 Zc

Discriminant vs. Example 1: many solution does the How quadratic function have? ¡ Quadratic Formula What are the solution(s) to the quadratic function? 7 1 7 1 12 The discriminant is a positive value so we know this quadratic has two solutions and 1 is a perfect square therefore this quadratic can also be solved by factoring too. What we don’t know is what the values of those solutions are!

Discriminant vs. Example 2: many solution does the How quadratic function have? ¡ Quadratic Formula What are the solution(s) to the quadratic function? 8 1 8 1 16 The discriminant is zero so we know this quadratic has only 1 solution and 0 is a perfect square therefore this quadratic can also be solved by factoring too. What we don’t know is what the value of this solution is! ★ Since the square root of zero is just zero, it can not be positive or negative. We evaluate like the ± isn’t there.

Discriminant vs. Example 3: many solution does the How quadratic function have? ¡ Quadratic Formula What are the solution(s) to the quadratic function? 7 1 -2 2 3 The discriminant is a negative value so we know this quadratic has no real solution. therefore this quadratic could not be solved by factoring. It is unnecessary to continue with the quadratic formula because we already know there is no real solution!

Discriminant vs. Example 4: many solution does the How Quadratic Formula quadratic function have? ¡ What are the solution(s) to the quadratic function? Simplify the radical -4 1 1 The discriminant is a positive value so we know this quadratic has two solutions and 12 is NOT a perfect square therefore this quadratic can not be solved by factoring. What we don’t know is what the values of those solutions are! Since the solution has a radical we don’t have to split up BUT we do have to reduce if possible. Does 2 divide evenly into each the constant and coefficient? ? ? YES!!!

Discriminant vs. Example 5: many solution does the How quadratic function have? ¡ Quadratic Formula What are the solution(s) to the quadratic function? 5 1 6 The discriminant is a positive value so we know this quadratic has two solutions and 1 is a perfect square therefore this quadratic can also be solved by factoring too. What we don’t know is what the values of those solutions are!

Discriminant vs. Example 6: many solution does the How quadratic function have? ¡ Quadratic Formula What are the solution(s) to the quadratic function? 0 4 0 4 -36

Quadratic Formula Song https: //www. youtube. com/watch? v=c. Yp. Pa 3 Jt 3 -I