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Mathematics 23 Online
OpenStudy (itsmichelle29):

What is the complex conjugate of 12+12i?

OpenStudy (anonymous):

The complex conjugate of a complex number is a number that has an equal real part and a complex part that is equal in magnitude but opposite in sign. Start by breaking your number down into real and complex parts, then use the definition to get the pieces you need for the answer.

OpenStudy (itsmichelle29):

is it -12-12i

OpenStudy (itsmichelle29):

@twvogels

OpenStudy (anonymous):

Almost. We need the real part to be equal and only the complex part to have the opposite sign.

OpenStudy (itsmichelle29):

12-12i yes

OpenStudy (alexandervonhumboldt2):

correct

OpenStudy (anonymous):

Yes!

OpenStudy (itsmichelle29):

thank u can u help me on a few more questions

OpenStudy (alexandervonhumboldt2):

sure

OpenStudy (itsmichelle29):

OpenStudy (anonymous):

Sure. Make sure to post them separately though. It make it easier for people to find them.

OpenStudy (anonymous):

Or we can do them here.

OpenStudy (anonymous):

Ok hold on I'm looking now.

OpenStudy (itsmichelle29):

its posted

OpenStudy (anonymous):

The FTAlg tells us that any one variable polynomial that's not a constant and has complex coefficients has at least one complex root. This works for real number coefficients too since they just have a complex part equal to zero.

OpenStudy (anonymous):

Use the quadratic formula or factoring to get the roots. Hint: it's quadratic so there will be two of them.

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