Algebra QUADRATIC FORMULA

For Solving When Factoring Won’t Work  The quadratic formula is used to solve quadratic equations when you cannot factor and solve using the roots.  This helpful formula works ALL the time but might not elicit an answer we can use (sometimes they are imaginary)

So What is this Wonder Formula?

Huh??

How Am I Going to Remember That?  What about a song?  Adele Version Adele Version  Row, Row, Row Your Boat Row, Row, Row Your Boat  Pop Goes the Weasel Pop Goes the Weasel  One Direction One Direction

Example

Algebra THE DISCRIMINANT

What is the Discriminant? The discriminant is the following expression: b 2 -4ac (Hey that’s what is underneath the radical in the quadratic formula!!)

Where do we find a,b and c? b 2 -4ac

So what?? Why do we care? The discriminant is used to determine if there is 2, 1 or no real solutions to an equation

How can it do that??  If the Discriminant EQUALS 0, then there is one real solution to the quadratic equation  If the Discriminant is GREATER THAN 0, then there are two real solutions to the quadratic equation  If the Discriminant is LESS THAN 0, then there are no real solutions to the quadratic equation (only imaginary ones ).

Example:

Assignment 10-7