Quadratic Solution Simplification: Is My Work Correct?

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The simplification of the expression \frac{-2\pm\sqrt{-56}}{30} is confirmed to be correct, resulting in \frac{-1\pm i\sqrt{14}}{15}. The intermediate step \frac{-2\pm 2i\sqrt{14}}{30} is also valid. The discussion highlights that the original work was accurate, with minor adjustments suggested for clarity. Overall, the participant received positive feedback on their mathematical process.
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Homework Statement



Simplify \frac{-2\pm\sqrt{-56}}{30}

\frac{-2\pm 2i\sqrt{14}}{30}

\frac{-1\pm i\sqrt{14}}{15}

Is this correct?
 
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Yes. I would write it with =, though.
\frac{-2\pm\sqrt{-56}}{30}~=~\frac{-2\pm 2i\sqrt{14}}{30}~=~\frac{-1\pm i\sqrt{14}}{15}
 
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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