1. Solving quadratics methods
Factor Square root method Quadratic formula: we will focus here today! complete the square Graphing
Flip
Notes
Also introduce the imaginary number, “i”

2. The imaginary number _____ equals _____O T E S
5.4
Today, we will introduce the imaginary number. We will build on this later!
The imaginary number _____ equals _____
Simplify expression vs Solving equation
Flip
Notes

3. Quadratic Formula & the Discriminant
Flip
Notes
Another way to solve a quadratic:

4. Flip
Notes
ax² + bx + c = 0
The a, b, and c in the standard form of a quadratic equation corresponds to the a, b, and c in the quadratic formula.
a is the coefficient of the quadratic term, b is the coefficient of the linear term, and c is the constant term

5. Flip Notes Example What are the a, b, and c? 2x² + 3x + 4 = 0 a = 2
Remember:
ax² + bx + c = 0

6. Flip Notes The Discriminant
The part of the formula under the square root is called the discriminant.
By solving this part of the formula only, not the radical, the number of roots, solutions or zeros can be found.
2 real solutions b² - 4ac > 0
1 double root solution b² - 4ac = 0
2 imaginary solutions b² - 4ac < 0