Solving Quadratic Equations and Completing the Square

The video tutorial explains how to solve a quadratic equation using the method of completing the square. It begins by isolating the x^2 and x terms, then moves the constant to the other side of the equation. The instructor demonstrates how to add a term to create a perfect square trinomial, which is then factored. Finally, the zeros of the equation are found by solving the factored equation.

What method is used to solve the quadratic equation in the video?

• Factoring

• Completing the square

• Quadratic formula

• Graphing

What is the first step in rewriting the equation to complete the square?

• Adding a constant to both sides

• Isolating the x^2 and x terms

• Multiplying both sides by a constant

• Taking the square root of both sides

What value is calculated to add to both sides of the equation to form a perfect square trinomial?

• B divided by 2, then squared

• B squared

• B divided by 2

• B times 2

What is the value of B in the equation x^2 + 6x + 8?

• 2

• 3

• 6

• 8

After adding the perfect square term, what does the equation become?

• x^2 + 6x + 9 = 1

• x^2 + 6x + 9 = -8

• x^2 + 6x + 9 = 9

• x^2 + 6x + 9 = 0

What is the factored form of the perfect square trinomial x^2 + 6x + 9?

• (x + 3)^2

• (x + 1)^2

• (x + 9)^2

• (x + 6)^2

What operation is performed to both sides of the equation to solve for x?

• Subtraction

• Square root

• Multiplication

• Addition

What are the possible values of x after taking the square root of both sides?

• x = 1 and x = -1

• x = 2 and x = -2

• x = 1 and x = -4

• x = 3 and x = -3

What is the first zero of the equation after solving?

• x = -4

• x = -3

• x = -2

• x = -1

What is the second zero of the equation after solving?

• x = -2

• x = -1

• x = -4

• x = -3