Solving a quadratic by completing the square | Part 3

The video tutorial explains how to solve a quadratic equation by completing the square. It begins by ensuring the leading coefficient is positive one, then factors out a negative coefficient. The process involves creating a perfect square trinomial by using the B/2 method, balancing the equation, and solving it using inverse operations. The final solution is presented with consideration of the plus or minus square root.

Why is it important to ensure the leading coefficient is positive when completing the square?

• To ensure the equation is solvable

• To simplify the equation

• To avoid complex numbers

• To correctly form a perfect square trinomial

What is the first step in completing the square when the leading coefficient is negative?

• Factor out the negative sign

• Add a constant to both sides

• Multiply the equation by zero

• Divide the equation by two

How do you determine the value to add to both sides of the equation to complete the square?

• Take half of the linear coefficient and square it

• Multiply the linear coefficient by two

• Square the leading coefficient

• Divide the constant term by two

What is the purpose of forming a perfect square trinomial?

• To eliminate the variable

• To factor it into a binomial squared

• To find the roots directly

• To simplify the equation

What is the final step in solving the equation after forming a perfect square trinomial?

• Multiply both sides by the leading coefficient

• Add the constant term to both sides

• Take the square root of both sides

• Subtract the linear term from both sides