What is the sum of 12 - 5i and -3 + 4i?
-16 + 63i, 9 - i, 9 - 9i, 15 - 9i

Solution:

Given: 12 - 5i and -3 + 4i

The sum of real numbers and imaginary numbers is called complex numbers. It is in the form a + bi where a is a real number and b is an imaginary part.

Adding both the equations

⇒ 12 - 5i + (-3 + 4i)

= 12 - 5i - 3 + 4i

= 12 - 3 - 5i + 4i (Grouping the real parts together and the imaginary parts together)

= 9 - i

Therefore, the sum of 12 - 5i and -3 + 4i is 9 - i.

What is the sum of 12 - 5i and -3 + 4i?

Summary:

The summation of 12 + 5i and -3 + 4i is 9 - i.