Quadratic Solution Simplification: Is My Work Correct?

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Homework Help Overview

The discussion revolves around the simplification of a quadratic expression involving complex numbers, specifically the expression \(\frac{-2\pm\sqrt{-56}}{30}\). Participants are examining the correctness of the simplification process and the representation of the result.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to simplify a quadratic expression and seeks validation of their work. Some participants offer confirmation of the correctness of the simplification, while others suggest a preference for a different notation.

Discussion Status

The discussion appears to be supportive, with participants confirming the original poster's work and providing minor suggestions for improvement in notation. There is a general sense of agreement regarding the correctness of the simplification.

Contextual Notes

Participants note a sense of rustiness in their skills, indicating that the problem may be revisiting previously learned material. There is no indication of missing information or unresolved assumptions in the current discussion.

montoyas7940
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Homework Statement



Simplify [tex]\frac{-2\pm\sqrt{-56}}{30}[/tex]

[tex]\frac{-2\pm 2i\sqrt{14}}{30}[/tex]

[tex]\frac{-1\pm i\sqrt{14}}{15}[/tex]

Is this correct?
 
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Yes. I would write it with =, though.
[tex]\frac{-2\pm\sqrt{-56}}{30}~=~\frac{-2\pm 2i\sqrt{14}}{30}~=~\frac{-1\pm i\sqrt{14}}{15}[/tex]
 
Thank you, I am very rusty...
 
montoyas7940 said:
Thank you, I am very rusty...
Well, it doesn't show. There was no problem with your work. I was just polishing it a bit.
 

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