Solving a quadratic by completing the square

The video tutorial explains how to solve quadratic equations by completing the square. It begins with setting the equation to zero and rewriting it into vertex form. The process involves creating a perfect square trinomial, factoring it, and then applying the square root method to find the solutions. The tutorial provides a step-by-step guide to ensure understanding of each part of the process.

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

• Combine all terms

• Set the output value to 1

• Set the output value to 0

• Rewrite the equation in standard form

When completing the square, what should you do after ensuring the coefficient of the squared term is one?

• Subtract the linear term from both sides

• Add the constant term to both sides

• Multiply the equation by two

• Calculate (B/2)^2 and adjust the equation

What is the purpose of creating a perfect square trinomial in the process of completing the square?

• To simplify the equation

• To factor it into a binomial square

• To eliminate the constant term

• To make the equation linear

After forming a binomial square, what method is used to solve the equation?

• Quadratic formula

• Graphing

• Square root method

• Substitution

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

• Add a constant to both sides

• Consider both positive and negative roots

• Ignore the constant term

• Only consider the positive root