Completing the Square to Solve Quadratic Equations
Observe how completing the square rewrites a quadratic equation into a form whose solutions can be read directly.
Task 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Task 2
What is a reasonable next step if you are completing the square from the equation below?
Task 3
Try varying the values of b and c, then completing the square. Can you determine what conditions need to exist in order for the equation to have at least one real solution?