Completing the Square Quiz

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

• Factor the equation as a binomial squared

• Add B/2 squared to both sides

• Move the constant to the other side of the equation

• Divide the equation by the coefficient of x^2

In the equation x^2 + 4x + 3 = 0, what is the value of B?

• 4

• 0

• 3

• 1

After moving the constant in the equation x^2 + 4x + 3 = 0, what is the resulting equation?

• x^2 + 4x = 3

• x^2 + 4x = -3

• x^2 + 4x = 0

• x^2 + 4x = 1

What is the next step after completing the square in the equation x^2 + 4x = -3?

• Move the constant to the other side

• Factor the left side as a binomial squared

• Add B/2 squared to both sides

• Take the square root of both sides

In the equation 3x^2 - 18x + 6 = 0, what is the value of A?

• 18

• 3

• 1

• 6

What is the result of dividing the equation 3x^2 - 18x = -6 by 3?

• x^2 - 6x = 6

• x^2 - 6x = 0

• x^2 - 6x = 2

• x^2 - 6x = -2

In the equation 4x^2 - 20x + 7 = 0, what is the value of B?

• 0

• 7

• -20

• 4

What is the result of dividing the equation 4x^2 - 20x = -7 by 4?

• x^2 - 5x = 7

• x^2 - 5x = 0

• x^2 - 5x = 7/4

• x^2 - 5x = -7/4

What is the value of B/2 squared in the equation x^2 - 5x = -7/4?

• 9/4

• 5/2

• 1/4

• 25/4

What is the final form of the solution for the equation 4x^2 - 20x + 7 = 0?

• x = 5 ± √2/2

• x = 5/2 ± √2

• x = 5 ± 3√2

• x = 5/2 ± 3√2/2