Pre-Calculus Lesson 5: Solving Quadratic Equations Factoring, quadratic formula, and discriminant
Steps to Follow 1. Set the equation equal to zero. 2. Factor. 3. Set each factor equal to zero (set up a T-chart). 4. Solve.
Quadratic Formula
Discriminant What is the formula for the discriminant? What does the discriminant tell us about roots? ◦ If positive? ◦ If =0? ◦ If negative?
Discriminant What is the formula for the discriminant? What does the discriminant tell us about roots? ◦ If positive? ◦ If =0? ◦ If negative?
Discriminant What is the formula for the discriminant? What does the discriminant tell us about roots? ◦ If positive? ◦ If =0? ◦ If negative? 2 real roots
Discriminant What is the formula for the discriminant? What does the discriminant tell us about roots? ◦ If positive? ◦ If =0? ◦ If negative? 2 real roots 1 real root
Discriminant What is the formula for the discriminant? What does the discriminant tell us about roots? ◦ If positive? ◦ If =0? ◦ If negative? 2 real roots 1 real root 2 imaginary roots 0 real roots
2 real roots
0 real roots 2 imaginary roots