Solving Quadratic Equation Given as a Binomial

Reorder the following steps to solve a quadratic equation when the leading coefficient is 1 (a = 1) to solve the equation by completing the square.

• Rewrite as

  x² + bx = c

• Take half of b, square it, then

  add this to both sides.

• Factor the perfect square trinomial.

• Take the square root of both sides and solve for both cases.

• Write the answer using curly braces in set notation

What is another word for roots of an equations?

(Select all choices that apply.)

• y-intercepts

• zeros

• vertex

• x-intercepts

• solutions

The ____________ is used to determine the number of solutions to a quadratic equation.

What is the first step in solving this equation

• 
• 
• 
• 

When factoring x² -4x+4=0. What goes in the blank?

• 8

• 2

• 4

• 20

Solve the equation by completing the square.

x²-8x-9=0

• {-3,-13}

• {3,13}

• {-1,9}

• {1,9}

What is one of the solutions to this equation? (x - 3)² = 49

• 7

• -7

• -4

• 4

What is the correct order for solving quadratic equations by completing the square.

• Move the constant to the right side.

• Factor the perfect square trinomial

• Write two equations and solve