Quadratic Solution Simplification: Is My Work Correct?

[montoyas7940]

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?

 

[Mark44]

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

 

[montoyas7940]

Thank you, I am very rusty...

 

[Mark44]

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.