 # CA STANDARDS 20.0: Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. Agenda 1.) Lesson.

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CA STANDARDS 20.0: Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. Agenda 1.) Lesson On The Discriminant 2.) Assignment Learning Objectives: Given a quadratic equation, students will be able to determine how many solutions it has.

 The number of Solutions, Roots, X – Intercepts, and Zeros depends on the value under the square root in the Quadratic Formula!  If it is Negative Then Zero (0) Solutions  If it is Positive Then Two (2) Solutions  If it is Zero Then One (1) Solution  Example 1: 4 4 1 Therefore, there is One Solution  Discriminant How many times does the graph of intersect the x -axis?

Example 2: How many X-Intercepts does the graph of have? 1 1 3 Therefore, there are No Solution

2 2 -2 Therefore, there are Two Solutions How many Solutions does the following equation have? 2 -4 2 Therefore, there is One Solution How many Roots does the following equation have? Example 3: You try:

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