Which complex number has an absolute value of 5

Asked by wiki @ 13/06/2021 in Mathematics viewed by 238 People

Which complex number has an absolute value of 5?

A)–3 + 4i
B)2 + 3i
C)7 – 2i
D)9 + 4i

Answered by wiki @ 13/06/2021

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:
$\sqrt{(-3)^2+(4)^2}$
Rewriting we have:
$\sqrt{9+16}$
$\sqrt{25}$
$5$
Answer:
A complex number that has an absolute value of 5 is:
A)–3 + 4i

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