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GeoGebraClasse GeoGebra

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.

Tâche 1

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Tâche 2

What is a reasonable next step if you are completing the square from the equation below?

Tâche 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?