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.

Open-ended question 1

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

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Open-ended question 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?

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