Solving Quadratic Equations, Factoring and Graphs

When using factoring to solve a quadratic equation, what must be true?

• The equation must be set equal to 1.

• The equation must be set equal to 10.

• The equation must be set equal to 0.

• It is not necessary to set the equation equal to anything.

Given this graph is the function of y=x^2-2x-8 , what is the solution to x^2=2x+8 ?

• (1, 9)
  

• x = {-2, 4}
  

• (0, 8)
  

• x = {5, 2}
  

How many real solutions can a quadratic equation of the form shown have?
Check all that apply.

• 0

• 1

• 2

• 3

• infinitely many

• x = 5 only
  

• x = -5 only
  

• x = 5 and -5
  

• There are no real solutions
  

• A

• B

• C

• D

• -1 and 3
• 1 and -3
• -1 and -3
• 1 and 3

• A

• B

• C

• D

Solve by factoring

• -4, 2

• -2, 4

• -16

• -4

Use the graph of y=-x²+6x-5 to solve the equation -x²+6x-5=0

• (1,5)

• {3,4}

• {1,5}

• {2,4}

Use the graph of the function f(x)=-2x²+4x+6 to find the solution(s) of the equation -2x²+4x+6=0.

• x=-1

• x=3

• x=-1 and x=3

• x=1and x=8