What is the conjugate of a complex number with 6 as the real part and -5 as the imaginary part?
(it's going to look like an equation )

Question

What is the conjugate of a complex number with 6 as the real part and -5 as the imaginary part?
(it's going to look like an equation )

mathstudent55 · Answer

A complex number looks like
a + bi
In your case, a = 6 and b = -5, so your complex number looks like
6 - 5i
Ok so far?

anonymous · Answer

yes, I think so. c: thanks!

mathstudent55 · Answer

To find the complex conjugate, all you do is rewrite the complex number, but change the sign of the imaginary part (the part that has i)

anonymous · Answer

okay, so then would 6 and 5 switch signs then ? (-6. +5)?

mathstudent55 · Answer

Here are a few examples of complex numbers and their complex conjugates:

Complex number                  Complex conjugate
6 + 2i                                  6 - 2i
-5 + 3i                                -5 - 3i
3 - 2i                                  3 + 2i
-5 - 4i                                -5 + 4i

mathstudent55 · Answer

Notice that in every example, the real part (the part without i) remains the same.
Only the imaginary part changes to the opposite sign.

anonymous · Answer

Ohh, so it would be 6+5i ?

mathstudent55 · Answer

Now you're correct.

anonymous · Answer

thanks !! c:

mathstudent55 · Answer

yw