How to use completing the square to solve a quadratic equation

The video tutorial explains the process of completing the square, a method used to solve quadratic equations when factoring is not possible. It begins by setting the equation to zero, then demonstrates how to create a perfect square trinomial by using the B/2 squared method. The tutorial concludes with solving the equation using the square root method, resulting in a solution for X.

Why is completing the square used instead of factoring in some cases?

• Because it is easier to understand

• Because it always gives integer solutions

• Because it works for equations that are not factorable

• Because it is a faster method

What is the first step in the process of completing the square?

• Divide all terms by the coefficient of x

• Add a constant to both sides

• Multiply all terms by two

• Set the equation equal to zero

How do you determine the number that completes the square?

• By dividing the coefficient of x by 2 and squaring it

• By adding the coefficients of x

• By multiplying the coefficient of x by 2

• By subtracting the constant term

What form does the equation take after completing the square?

• A linear equation

• A quadratic equation

• A cubic equation

• A perfect square trinomial

What is the final step in solving the equation using the square root method?

• Multiply both sides by the square root

• Divide both sides by the square root

• Subtract the constant from both sides

• Add the square root to both sides