Solving Quadratic Equations by Completing the Square with Non-Unit Leading Coefficient

This lesson teaches how to solve quadratic equations by completing the square, especially when the leading coefficient is not 1. It explains the concept of perfect square trinomials and how to transform non-perfect squares into perfect squares by identifying and adding the missing component. The lesson provides a detailed example of solving a quadratic equation with a non-unit leading coefficient, demonstrating the process of dividing to simplify the equation, completing the square, and solving for the variable.

What is the purpose of completing the square in a quadratic equation?

Explain what a perfect square trinomial looks like.

What does it mean if a quadratic equation is not a perfect square?

How do you determine the 'yellow piece' needed to complete the square?

What steps do you take to complete the square for the equation 2x² + 3x - 2 = 0?

Describe how to factor a perfect square trinomial once it has been created.

What are the final solutions for x in the equation after completing the square?