Question

From the sum of 5 – 9i and -4 + 7i, subtract 14 – 3i.



-13 + i



-13 – 5i



13 – i



13 + 5i



13 – 5i

Answer 1

\[5−9i+(−4)+7i\]

Answer 2

\[-90 + 7 i \]

Answer 3

that's not the answer

Answer 4

One very important thing to know about the complex numbers is that they are represented as vectors, by that I mean they have some special things when it comes to operating them.
Say we have two complex numbers:
\[u=a+bi\]
\[v=a'+b'i\]
Now, I want to know the sum of the numbers "u" and "v", it would look like this:
\[u+v=(a+bi)+(a'+b'i)\]
The way to do this is getting rid of the parenthesis and agroup the real part (the number without "i") and the imaginary part (the number with a "i").
So the sum would look like this:
\[u+v=(a+a')+(b+b')i\]

Answer 5

I'm getting -13-5i ---> 5-9i-4+7i-14-3i = -13-5i