Completing the Square to Solve Quadratic Equations

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.


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Putting It All Together

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

Question ouverte 1

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

Entrée de texte et de données mathématiques

Question ouverte 2

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?

Entrée de texte et de données mathématiques