Solving Quadratic Equations

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

What is/are the solution(s) to \(3x^2-1=74\) ?

• x = 5 only
  

• x = -5 only
  

• x = 5 and -5
  

• There are no real solutions
  

Check all of the following situations where you could use the Quadratic Formula to solve an equation.

• When its highest exponent (degree) is 1

• When its highest exponent (degree) is 2

• When its highest exponent (degree) is 3

• When you cannot factor the quadratic

• Factoring (Diamond Method)

• Factoring (Grouping)

• Quadratic Formula

• Finding square roots

• Factoring (Diamond Method)

• Factoring (Grouping)

• Quadratic Formula

• Finding square roots

• Factoring (Diamond Method)

• Factoring (Grouping)

• Quadratic Formula

• Finding square roots

• No real solutions

• No real solutions

• No real solutions