Quadratic Equations: Completing the Square

Which of the following is NOT a method to solve quadratic equations?

• Completing the square

• Using the quadratic formula

• Graphical method

• Extracting square roots

What is the first step in solving x^2 + 12x + 32 = 0 by completing the square?

• Divide the equation by 2

• Transpose the constant to the other side

• Factor the equation

• Use the quadratic formula

What number should be added to both sides to complete the square for x^2 + 12x?

• 12

• 24

• 36

• 6

After completing the square, what is the next step to solve for x?

• Graph the equation

• Use the quadratic formula

• Factor the equation

• Extract the square roots

What are the solutions for x in the equation x^2 + 12x + 32 = 0?

• x = 2 and x = -2

• x = -4 and x = -8

• x = 4 and x = 8

• x = 6 and x = -6

What is the first step when solving a quadratic equation with a coefficient of 2?

• Add 2 to both sides

• Divide the entire equation by 2

• Multiply the equation by 2

• Subtract 2 from both sides

In the equation 2x^2 - 8x + 6 = 0, what is the simplified form after dividing by 2?

• x^2 - 4x + 3 = 0

• x^2 - 8x + 6 = 0

• 2x^2 - 4x + 3 = 0

• x^2 - 4x + 6 = 0

What value is added to both sides to complete the square for x^2 - 4x?

• 8

• 4

• 2

• 16

What are the solutions for x in the equation 2x^2 - 8x + 6 = 0?

• x = 0 and x = 4

• x = 2 and x = -2

• x = -1 and x = 3

• x = 1 and x = 3

What is the final step in solving a quadratic equation by completing the square?

• Graph the equation

• Check the solutions

• Extract the square roots

• Transpose the constant