Quadratic Equations: Completing the Square

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

• Move the constant to the other side

• Divide by the leading coefficient

• Take the square root of both sides

• Factor the trinomial

What is the form of a quadratic equation before starting the process of completing the square?

• ax^2 + bx + c = 0

• ax^2 = bx + c

• ax + b = c

• x^2 + bx = c

In the first example, what is the value added to both sides after dividing the B value by 2 and squaring it?

• 16

• 8

• 4

• 2

What is the purpose of taking the square root of both sides in the process of completing the square?

• To eliminate the constant

• To factor the trinomial

• To find the value of the leading coefficient

• To solve for the variable

In the first example, what is the shortcut mentioned for solving after taking the square root?

• Add the constant to both sides

• Add the B value in front of the plus or minus sign

• Add the B value to both sides

• Add the constant in front of the plus or minus sign

In the second example, what is the first step after moving the constant to the other side?

• Add the B value squared to both sides

• Divide everything by the leading coefficient

• Factor the trinomial

• Take the square root of both sides

What is the value of the B term in the second example before completing the square?

• 24

• 9

• 3

• 8

After completing the square in the second example, what is the resulting equation before taking the square root?

• (x + 8)^2 = 13

• (x - 8)^2 = 13

• (x + 4)^2 = 13

• (x - 4)^2 = 13

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

• Divide by the leading coefficient

• Move the constant to the other side

• Split into two equations and solve

• Add the B value squared to both sides

In the second example, what is the value added to both sides after completing the square?

• 9

• 16

• 8

• 4