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Which complex number has an absolute value of 5?

A)–3 + 4i
B)2 + 3i
C)7 – 2i
D)9 + 4i

Respuesta :

carlosego
For this case we can use the Pythagorean theorem to solve the problem.
 We have then for the following complex number:
 [tex]-3 + 4i [/tex]
 Using the Pythagorean theorem:
 [tex] \sqrt{(-3)^2+(4)^2} [/tex]
 Rewriting we have:
 [tex] \sqrt{9+16} [/tex]
 [tex] \sqrt{25} [/tex]
 [tex]5[/tex]
 Answer:
 A complex number that has an absolute value of 5 is:
 A)–3 + 4i

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