Illustrating Quadratic Equations

It is a polynomial equation of degree two that can be written in the form

ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.

• Linear Equation

• Linear Inequality

• Quadratic Equation

• Quadratic Inequality

Which of the following is a quadratic equation?

•  $3s^2+s–4$  

•  $m^2–8m–1=0$  
  

•  $2x–1=5$  
  

• 
   $5y^2+4y\ge7$  
  

In the quadratic equation 2x² – 9x – 5 = 0, which is the quadratic term?

• 2x²

• x²

• – 9x

• – 5

In the quadratic equation 2x² – 9x – 5 = 0, which is the linear term?

• 2x²

• x²

• – 9x

• a. – 5

In the quadratic equation 2x² – 9x – 5 = 0, which is the constant term?

• 2x²

• x²

• – 9x

• – 5

Solve by factoring: x²-6x+9=0

• x=3

• x=-3

• x=-4, x=-2

• Not factorable

Solve by extracting the roots:

4m² = 100

• m=25, -25

• m=96

• m=-96

• m=5, -5

Solve by extracting the roots:

3x² = 192

• -32 or 32

• -8 or 8

• -64 or 64

• No Solution

Solve by factoring:
 $x^2-15=-2x$  

• x= -2 ; x= -3

• x= 3; x= -8

• x= -5 ; x= -3

• x= -5 ; x= 3

Solve by factoring: x²-9x+20 =0

• x=4, x=5

• x=-2, x=10

• x=-5, x-4

• not factorable