Ask your own question, for FREE!
Mathematics 19 Online
OpenStudy (anonymous):

A complex number is a number of the form a + bi, where: A. a is a real number and bi is an imaginary number. B. a and bi are imaginary numbers. C. a and bi are real numbers. D. a is an imaginary number and bi is a real number.

OpenStudy (liamschumm):

What is that?!

OpenStudy (anonymous):

lol nothing, i really need help with the question tho

OpenStudy (liamschumm):

Please avoid posting content like that.

OpenStudy (liamschumm):

Ok, so this is kind of a trick question:

OpenStudy (anonymous):

alright

OpenStudy (liamschumm):

We express complex numbers as a+bi.

OpenStudy (anonymous):

right

OpenStudy (liamschumm):

In this case, A and B are real.

OpenStudy (liamschumm):

*a *b

OpenStudy (liamschumm):

real + real*imaginary.

OpenStudy (liamschumm):

So B and D are wrong.

OpenStudy (liamschumm):

But real*imaginary is also imaginary.

OpenStudy (liamschumm):

So C is wrong.

OpenStudy (solomonzelman):

if you know that \(i\) is imaginary, then multiplying it times any real number \(b\) still is imaginary.

OpenStudy (liamschumm):

So A, right?

OpenStudy (solomonzelman):

\(i=\sqrt{-1}\) you know this, right?

OpenStudy (solomonzelman):

yes, A is correct, but I would like (if you don't mind) to gain understand on this, if you aren't sure you can fully comprehend the question.

OpenStudy (solomonzelman):

gain *understanding*

OpenStudy (anonymous):

idk who to give the medal too, ima give it to liamschumm because he was first to reply, but thank you both for answering

OpenStudy (solomonzelman):

I don't really care about medals.... sorry to hear that all people care about is medals.

OpenStudy (liamschumm):

Have a nice day, Arock and Solomon!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!