Question

If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?
2
4
9
10

Answer 1

Answer:

A: 2

Step-by-step explanation:

EDGE 2021

Answer 2

Considering that the magnitude of the complex number x is of 13, a possible value of b is of 2.

What is a complex number?

A complex number is modeled by:

z = a + bi.

In which:

• a is the real part.

• b is the imaginary part.

In this problem, the number is:

x = 3 + bi.

It's magnitude is given by:

$|x| = \sqrt{3^2 + b^2}$

Then:

$\sqrt{3^2 + b^2} = \sqrt{13}$

$3^2 + b^2 = 13$

$b = \pm \sqrt{4}$

$b = \pm 2$

A possible value of b is of 2.

More can be learned about complex numbers at https://brainly.com/question/25572463

#SPJ2