Solving Quad. Equations & Linear Systems

Solve
x² + 2x - 24 = 0

• x = -6, x = 4
• x = 6, x = -4
• x = 12, x = -2
• x = 8, x = -3

Solve the equation using the zero product property.

3x(2x - 4) = 0

• x = -1/3 or x = -2

• x = 0 or x = 2

• x = 0 or x = -2

• x = -1/3 or x = 2

X intercepts are also called....

• Solutions

• Parabolas

• Roots

• Puppies

Given a graph, how can you find the "solutions" to a quadratic?

• Copy off neighbor

• Plug into calculator

• Solutions are where the quadratic crosses the x axis

• Magic 8 Ball

How many solutions do quadratics have?

• 2

• At least 2

• infinite

• 1

What are the green dots called?

• roots

• vertex

• solutions

• x intercepts

What are the x- intercepts?

• (0,0) and (0,4)

• (0,0) and (4,0)

• y= 0

• x= 2

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

Identify a, b, and c in: x²−6x+14

• a=3,b=5,c=9

• a=1,b=-6,c=14

• a=1,b=-6,c=-14

• a=1,b=6,c=14

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3