The Quadratic Formula and the Discriminant

The Discriminant will tell you the number of solutions you have.

Discriminant = b² - 4ac

If the discriminant is:

• positive , then you have 2 real solutions

• negative, then you have 2 imaginary solutions (no real)

• zero - then you have one solution (double root)

Finding the Discriminant

Use the Quadratic Formula

​https://www.youtube.com/watch?v=r4Fdt8W0kYU

Understand How to Use the Discriminant to Find the Amount of Solutions

​https://youtu.be/XDiFIG-FvKk

Fill in the Blanks

Do Now: Complete the Square to solve the answer. Type your answer in as an ordered pair.

What is the vertex of the following function?

f(x) = x² -8x + 19

​Questions, Comments, Concerns?????