1. Evaluate 𝑏 2 −4𝑎𝑐 for the given values:
Friday Warm Up!
Evaluate 𝑏 2 −4𝑎𝑐 for the given values:
3. Sketch the graph for each quadratic
No solutions One solution Two solutions

2. Using the Discriminant
I can use the discriminant to determine how many solutions a quadratic equation will have.

3. Using the Discriminant
Quadratic Equations can have two, one, or no solutions.
Discriminant: The expression under the radical in the quadratic formula that allows you to determine how many solutions you will have before solving it.
Discriminant

4. Properties of the Discriminant
2 Real Solutions
*If the discriminant is a perfect square, the two real solutions are rational.
*If the discriminant is not a perfect square, the two real solutions are irrational
Discriminant is a positive number
1 Real Solution
Discriminant is zero
No Real Solutions
2 Imaginary Solutions
Discriminant is a negative number

5. Find the number of solutions of the following.
Ex. 1