Solve by completing the square

The video tutorial explains how to solve an equation by completing the square. It begins with setting up the equation, factoring out terms, and reducing it. The process of completing the square is detailed, including adjusting the equation and solving it using the completed square. The tutorial concludes with the final solution and a summary of the method.

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

• Multiply both sides by two

• Add a constant to both sides

• Factor out the constant term

• Set the equation equal to zero

Why do we factor out a number from the equation?

• To make the equation more complex

• To change the equation's solution

• To simplify and reduce the terms

• To eliminate the variable

What value do you add to both sides to complete the square?

• The square of the constant term

• The square of half the coefficient of the linear term

• The product of the coefficients

• The sum of the coefficients

How do you rewrite the equation as a perfect square binomial?

• By factoring out the variable

• By using the square of half the coefficient of the linear term

• By adding the square of the constant term

• By using the square root of the constant term

What is the final step in solving the equation after completing the square?

• Divide both sides by the variable

• Add the constant to both sides

• Take the square root of both sides

• Multiply both sides by the constant

What are the possible solutions for the equation after completing the square?

• The sum of the roots

• The square of the roots

• The product of the roots

• The positive and negative square roots

What is the result when you subtract 3/4 from both sides after taking the square root?

• An imaginary number

• Zero

• A positive number

• A negative number