Respuesta :

The correct answer is:

A) 2.

Explanation:

We know that |x|² = 13 and x = 3+bi:

(3+bi)² = 13
3² + b² = 13
9 + b² = 13

Subtract 9 from each side:
9 + b² - 9 = 13 - 9
b² = 4

Take the square root of each side:
√b² = √4
b = 2
okpalawalter8

A possible value of b is mathematically given as

b = 2

What is a possible value of b ?

Generally, the equation for the complex number is  mathematically given as

x = 3 + bi and |x|^2 = 13,

Therefore

[tex](3+bi)^2 = 13\\\\9 + b^2 = 13\\\\b^2 = 4[/tex]

Take the square root of each side:

[tex]\sqrt{b^2} = \sqrt{4}[/tex]

b = 2

In conclusion,

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