Question

Which complex number has an absolute value of 5?

A)–3 + 4i
B)2 + 3i
C)7 – 2i
D)9 + 4i

Answer 1

A)–3 + 4i

Explanation:

on edge

Answer 2

For this case we can use the Pythagorean theorem to solve the problem.
We have then for the following complex number:

`-3 + 4i`
Using the Pythagorean theorem:

`√((-3)^2+(4)^2)`
Rewriting we have:

`√(9+16)`

`√(25)`

`5`
Answer:
A complex number that has an absolute value of 5 is:
A)–3 + 4i