Solving a quadratic 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, followed by steps to create a perfect square trinomial. The tutorial then demonstrates solving the equation using inverse operations and concludes with finding the final solution and discussing simplification without using decimals.

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

• Add the same value to both sides

• Multiply both sides by 2

• Move the constant to the other side of the equation

• Factor the equation

How do you determine the value to add to both sides to create a perfect square trinomial?

• Subtract the constant term from the coefficient of x

• Multiply the coefficient of x by 2

• Divide the coefficient of x by 2 and square it

• Add the constant term to itself

Why is it important to add the same value to both sides of the equation?

• To factor the equation

• To eliminate the variable

• To maintain the balance of the equation

• To simplify the equation

What operation is used to solve for x after creating a perfect square trinomial?

• Multiplication

• Subtraction

• Square root

• Addition

What does the plus-minus symbol (±) indicate in the solution of a quadratic equation?

• There is only one solution

• The solution is negative

• The solution is an approximation

• There are two possible solutions