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IM Alg2.3.19 Lesson: Real and Non-Real Solutions

Author:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

What do you notice? What do you wonder?

 when 
when 
 when

Here are some equations:

Which equations will have real solutions, and which ones will not? Write your prediction in the table. Pause here for discussion.

What advice would you give to someone who is trying to figure out whether a quadratic equation has real solutions?

Create three different quadratic equations. At least one should have solutions with an imaginary part, and at least one should have solutions with only real parts.

Solve your equations. Write down your equations and their solutions in the table.

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