Quadratic Formula 2/24

The discriminant is

•  $y=ax^2+bx+c$  

•  $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ 
  

•  $b^2-4ac$  
  

•  $x=\frac{-b}{2a}$  

If the discriminant is positive, then the function will have

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

A function has a discriminant of 0.

How many solutions does it have?

• 0

• 1

• 2

• 5

For the function below, is the discriminant positive, negative, or zero?

 $x^2+4x+4=0$  

• Positive

• Negative

• Zero

• Not Sure

What is the discriminant of 

 $2x^2-x-3=0$  

• 25

• -23

• -25

• 0

What is the discriminant of 

 $-2x^2-x-1=0$  

• 76

• -7

• 9

• none of these

The quadratic formula is

•  $y=ax^2+bx+c$  

•  $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ 
  

•  $b^2-4ac$  
  

•  $x=\frac{-b}{2a}$  

Solve Using the Quadratic Formula

 $x^2+4x-32=0$  

• {-10, -4}

• {-4, 10}

• {-8, 4}

• {8, -4}

Solve Using the Quadratic Formula

 $2x^2-8x-24=0$  

• {6, -2}

• { 2, -6}

• { 4, 2}

• {2, 6}