If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?
We can make use of the modular properties of the complex number.
Answer: If the complex number x = 3 + bi and |x|2 = 13, the possible value of b is 2 or -2.
Go through the steps to understand better.
Given: x = 3 + bi, |x|2 = 13
⇒ |x|2 = 13
Using the definition of modular of a complex number, we get:
|x|2 = 32 + b2
13 = 9 + b2
13 - 9 = b2
b2 = 4
b = 2, -2