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Quadratic Equations with Complex Solutions




 


Videos and lessons to help High School students learn how to solve quadratic equations with real coefficients that have complex solutions.


Common Core: HSN-CN.C.7

Related Topics:
Common Core (The Complex Number System)

Common Core for Mathematics


Solve quadratic equations with real coefficients using the quadratic formula - N-CN.7
In this lesson, you will learn to solve any quadratic equation with real coefficients and to express the solutions in the form a ± bi by using the quadratic formula.


Solving Quadratic Equations with Complex Solutions
This tutorial revisits solving quadratic equations using square roots, completing the square, and the quadratic formula. Problems which previously had no solution can now be solved with the inclusion of the complex number system. Several problems are demonstrated.





Solve equations by completing the square - N-CN.7
In this lesson, you will learn to solve any quadratic equation with real coefficients and to express the solutions in the form a ± bi by using completing the square.


Solving Quadratic Equations using the Quadratic Formula, Complex Solutions
In this example, we have complex solutions.



 

Quadratic Formula - Complex Solutions
This video provides an example of how to solve a quadratic equation with complex solutions using the quadratic formula.


Solving a quadratic equation with complex solutions
How to use the Quadratic Formula to solve a quadratic equation with complex solutions.




Quadratic Formula-Imaginary Roots
In this video, I use the quadratic formula to solve a quadratic with complex imaginary roots.



 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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