Methods of Solving Quadratic Equations

When solving a quadratic equation, when do you use the plus or minus (±) symbol?

• After taking the square root of both sides

• After simplifying "a" to 1

• After setting the equation equal to zero

Suzanne solved the equation using this process.

Did she make a mistake?

If yes, at which line did she make her first mistake?

(There are 5 steps in her process)

• Suzanne made no errors.
  

• Step 2
  

• Step 3
  

• Step 4
  

• Step 5
  

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

What is the first step to solving THIS equation by completing the square? 2a² + 10a = -12

• Set the equation equal to zero

• Divide 10 by 2, square it, and add the result to both sides

• Add a² and 10a together

• Divide both sides by 2

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

• 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