Discriminant b^2 - 4(a)(c)

What is the discriminant and how is it related to the Quadratic Formula?

The discriminant is the part of the quadratic formula that informs us how many solutions the quadratic equation will have. ​

Understanding the value of the discriminant is important

when solving A quadratic.

Formula: D = b² − 4ac Reminder: Ax² + bx+C

​-a positive answer = 2 real roots

-a zero answer = 1 real root

-a negative answer = no real roots

Finding the Discriminant

Type text here...

Use the formula from the previous slide to see if ​you can find the discriminant.

Let's see if you understood.....​

Multiple Choice

If the discriminant is positive, then the solution will be

• One real solution

• two real solutions

• two non-real solutions

• all real numbers

Multiple Choice

If the discriminant is negative, then the solution will be

• one real solution

• two real solutions

• two non-real solutions

• all real numbers

Multiple Choice

Determine the value of the discriminant

$$y=x^2+7x+13$$  

• 101

• 3

• -101

• -3

Multiple Choice

Describe the number and type solutions for the following:

$$y=x^2+7x+13$$  

• 2 real solutions

• 2 non-real solutions

• 1 real solution

• 1 non-real solution

Multiple Choice

For the function below, what is the discriminant?

$$x^2+8x+16=0$$  

• 4

• -4

• 0

• 2

Multiple Choice

For the function below, what is the discriminant?

$$x^2+8x+16=0$$  

• 4

• -4

• 0

• 2