Solve by completing the square

The video tutorial explains how to solve quadratic equations by completing the square. It begins with an introduction to the method, comparing it to factoring and the quadratic formula. The tutorial then provides a step-by-step guide on completing the square, including creating a perfect square trinomial and solving the equation using the square root property. The process is demonstrated with an example, highlighting the importance of maintaining equation balance and the benefits of reducing variables.

Why can't the equation be solved using linear methods?

• Because the equation is factorable.

• Because the equation has too many variables.

• Because the equation is already solved.

• Because the equation is not linear and involves a squared term.

What is the first step in completing the square?

• Use the quadratic formula.

• Ensure the coefficient of the squared term is one.

• Add a constant to both sides.

• Factor the equation.

How do you find the special number to add to both sides of the equation?

• Divide B by 2 and square it.

• Multiply B by 2 and square it.

• Add B to itself.

• Subtract B from itself.

What is the purpose of rewriting the trinomial as a binomial squared?

• To factor the equation.

• To eliminate the need for a solution.

• To make the equation more complex.

• To simplify the equation by reducing the number of variables.

What should you remember when taking the square root of both sides?

• Only consider the negative value.

• Include both the positive and negative values.

• Only consider the positive value.

• Ignore the square root.