Solving by completing the square

The video tutorial explains the process of solving quadratic equations by completing the square. It begins with an introduction to the concept and its importance, followed by setting up the equation to zero. The tutorial discusses factoring and the steps to complete the square, including creating a perfect square trinomial. It concludes with solving the equation using inverse operations and emphasizes the application of these methods when factoring is not possible.

Why is it important to set the equation to zero when completing the square?

• To simplify the equation

• To ensure the equation is factorable

• To balance the equation

• To create a perfect square trinomial

What is the first step in completing the square?

• Set the equation equal to zero

• Factor the quadratic equation

• Divide the coefficient of x by 2 and square it

• Add and subtract the same number on both sides

What does completing the square help to create?

• A quadratic equation

• A factorable equation

• A perfect square trinomial

• A linear equation

What is the purpose of adding and subtracting the same number on both sides of the equation?

• To maintain balance and create a perfect square trinomial

• To eliminate fractions

• To factor the equation

• To simplify the equation

How do you solve the equation after creating a perfect square trinomial?

• By factoring

• By using inverse operations

• By substitution

• By graphing

What is the result of solving the equation X + 1/2 = 5/2?

• X = 0

• X = 3

• X = 2

• X = 1

Why might completing the square be preferred over factoring in some cases?

• It is always faster

• It works even when the equation is not factorable

• It is easier to understand

• It eliminates the need for fractions