ethanhaines
Answered

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

Sagot :

IMont10

Answer:

A: 2

Step-by-step explanation:

EDGE 2021

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:

[tex]|x| = \sqrt{3^2 + b^2}[/tex]

Then:

[tex]\sqrt{3^2 + b^2} = \sqrt{13}[/tex]

[tex]3^2 + b^2 = 13[/tex]

[tex]b = \pm \sqrt{4}[/tex]

[tex]b = \pm 2[/tex]

A possible value of b is of 2.

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

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