# Unsure about 2 answers being the same

• Oct 29th 2008, 06:57 PM
alaricepent
Unsure about 2 answers being the same
The solution set of $2x^2-2x+3=0$ is:

this is my answer: (2+i√5)/2

is it the same thing as (4+√20 i)/4

*note* the "i" is outside the radical sign.

HELP!!!! (Worried)
• Oct 29th 2008, 08:05 PM
Shyam
Quote:

Originally Posted by alaricepent
The solution set of $2x^2-2x+3=0$ is:

this is my answer: (2+i√5)/2

is it the same thing as (4+√20 i)/4

*note* the "i" is outside the radical sign.

HELP!!!! (Worried)

yes, they are same

$\frac{4+i \sqrt{20}}{4}$

$=\frac{4+i \sqrt{4 \times 5}}{4}$

$= \frac{4+2i\sqrt{5}}{4}$

$= \frac{2(2+i\sqrt{5})}{4}$

$= \frac{2+i\sqrt{5}}{2}$

Did you get it now ???
• Oct 30th 2008, 02:43 AM
alaricepent
no, the "i" is to the right of the radical, not left. I know its supposed to be to the left, but that is what the answer choice says on my worksheet.