How do you solve a quadratic by completing the square

The video tutorial explains how to solve quadratic equations using the completing the square method. It begins with an introduction to the method, followed by setting the equation to zero. The tutorial then covers adjusting the quadratic term's coefficient to one, finding the perfect square, and using the square root method to solve the equation. The instructor provides a step-by-step guide, including examples and explanations, to help learners understand the process.

Why is factoring often taught before completing the square?

• It is more applicable to all quadratics.

• It is generally faster with practice.

• It is a more modern method.

• It is easier to understand.

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

• Find the perfect square.

• Use the quadratic formula.

• Set the equation equal to zero.

• Factor the equation.

What should you do if the coefficient of the quadratic term is not one?

• Ignore the coefficient.

• Multiply the entire equation by the coefficient.

• Factor out the coefficient from the first two terms.

• Add a constant to both sides.

How do you determine the perfect square in the process of completing the square?

• Multiply the linear term by two and square it.

• Divide the linear term by two and square it.

• Add the linear term to the quadratic term.

• Subtract the linear term from the quadratic term.

What is the purpose of using the square root property in completing the square?

• To isolate the variable.

• To simplify the equation.

• To eliminate the constant term.

• To factor the equation.