Web Analytics
Answered

Which complex number has an absolute value of 5?


A)–3 + 4i

B)2 + 3i

C)7 – 2i

D)9 + 4i

Verified Answer :

carlosego

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

Related Questions