Solving a quadratic by completing the square

The video tutorial explains how to solve quadratic equations by completing the square when the coefficient of x^2 is 1. It covers creating a perfect square trinomial, factoring it into a binomial squared, and using inverse operations to solve for x. The tutorial emphasizes keeping fractions instead of converting to decimals for easier calculations. The final solutions are derived by adding and subtracting fractions, resulting in two possible values for x.

What is the first step in completing the square when the coefficient of x^2 is 1?

• Factor the trinomial

• Make the equation equal to zero

• Add a constant to both sides

• Convert to vertex form

How do you create a perfect square trinomial?

• Square half of the coefficient of x

• Divide the equation by the coefficient of x^2

• Multiply the coefficient of x by 2

• Add the constant term to x^2

What is the purpose of adding the squared term to both sides of the equation?

• To simplify the trinomial

• To balance the equation

• To eliminate the constant term

• To convert the equation to standard form

When factoring a trinomial into a binomial squared, what should you consider about the middle term?

• It should be zero

• It should be doubled

• Its sign should be maintained

• Its coefficient should be positive

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

• Ignore the constant term

• Only consider the positive root

• Consider both positive and negative roots

• Multiply the roots by 2