Answer:
a could be equal to 1
b could be equal to 3.1238
Explanation:
The absolute value of a complex number is calculated as follows:
a + bi = [tex] \sqrt{a^2 + b^2} [/tex]
Now, we are given that:
complex number is ............> z = a + bi
absolute vale ..........> 3.28
This means that:
[tex] \sqrt{a^2 + b^2} [/tex] = 3.28
Square both sides:
a² + b² = (3.28)²
a² + b² = 10.7584
Since we have one equation in two unknowns, therefore, we need to assume one of the variables and solve for the other.
Assume a = 1:
1 + b² = 10.7584
b² = 9.7584
either b = 3.1238
or b = -3.1238
Based on the above, one of the possible solutions is:
a = 1
b = 3.1238
You can assume any other value for the a and solve for b.
Hope this helps :)
