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Mathematics 6 Online
OpenStudy (gahm8684):

Imaginary complex numbers

OpenStudy (zzr0ck3r):

THEY ARE EVERYWHERE!!!!!

OpenStudy (gahm8684):

I've been asked to solve this equation, however when I get to certain step I get stuck and don't know what to do \[x^2+2x+3=0\]

OpenStudy (zzr0ck3r):

What step?

OpenStudy (gahm8684):

\[(-2\pm \sqrt{4-12})/2\]

OpenStudy (gahm8684):

my bad I meant \[-2\pm \sqrt{-8}/2\]

OpenStudy (zzr0ck3r):

\[\sqrt{4-12}=\sqrt{-8}=\sqrt{-1*8}=\sqrt{-1}\sqrt{8}=i\sqrt{8}=i\sqrt{4*2}=i\sqrt{4}\sqrt{2}=2i\sqrt{2}\]

OpenStudy (gahm8684):

ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooohohohhohhohoohohohohohohohoohohohohohhhhhhhhhhhhhhhh

OpenStudy (zzr0ck3r):

Yoou should end up with \(-1\pm i\sqrt{2}\)

OpenStudy (gahm8684):

I get it.

OpenStudy (zzr0ck3r):

word

OpenStudy (gahm8684):

Thank you

OpenStudy (zzr0ck3r):

np

OpenStudy (gahm8684):

How did you get the -1 tho

OpenStudy (zzr0ck3r):

\(-8=-1*8\)

OpenStudy (gahm8684):

no, I'm talking about the one in -1pmisqrt(2)

OpenStudy (zzr0ck3r):

\(\dfrac{-2\pm2i\sqrt{2}}{2}=\dfrac{-2}{2}\pm \dfrac{2i\sqrt{2}}{2}=-1\pm i\sqrt{2}\)

OpenStudy (gahm8684):

what about the 2i, what happened to the 2?

OpenStudy (zzr0ck3r):

\[\dfrac{-2}{2}\pm\dfrac{2i\sqrt{2}}{2}=\dfrac{\cancel{-2}}{\cancel{2}}\pm\dfrac{\cancel{2}i\sqrt{2}}{\cancel{2}}=-1\pm i\sqrt{2}\]

OpenStudy (zzr0ck3r):

\[\dfrac{ab+cb}{b}=a+c\]

OpenStudy (gahm8684):

alright I get it now thank you

OpenStudy (zzr0ck3r):

np

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