Square Roots and Completing the Square

The video tutorial explains how to solve a quadratic equation by completing the square. It begins by moving the constant term to the right side of the equation. Then, it adds the square of half the coefficient of x to both sides. The left side is factored, and the right side is simplified. The equation is solved by taking the square root of both sides, resulting in the solution for x.

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

• Take the square root of both sides

• Move the constant to the right side

• Add the square of the coefficient of x to both sides

• Factor the equation

How do you determine the value to add to both sides when completing the square?

• Add the coefficient of x

• Square the coefficient of x

• Double the coefficient of x

• Square half of the coefficient of x

What form should the left side of the equation take after factoring?

• A linear equation

• A difference of squares

• A quadratic equation

• A perfect square trinomial

What must be included when taking the square root of both sides of the equation?

• A plus or minus sign

• A multiplication sign

• A division sign

• A subtraction sign

What is the final step in solving for x after taking the square root?

• Add 4 to both sides

• Multiply both sides by 2

• Subtract 4 from both sides

• Divide both sides by 2

What is the simplified form of the square root of 12?

• 2 square root 3

• 2 square root 2

• 3 square root 2

• 4 square root 3