Question

8−i3−2iIf the expression above is rewritten in the form a+bi, where a and b are real numbers, what is the value of a? (Note: i=√−1)

Answer 1

Step-by-step explanation:

A complex number z is written in the following form:

`z=\text{ }a+bi\text{ = \lparen a,b\rparen}`

where a is the real part and b is the imaginary part of z.

Now, consider the following complex numbers:

`8\text{ -i}`

and

`3\text{ -2i}`

By notation and by definition, in each case, we have that the real part a is respectively:

`a=\text{ 8}`

and

`a=3`

Then, we can conclude that the correct answer is:

Answer:

For z= 8-i

`a=\text{ 8}`

For z= 3 - 2i

`a=\text{ 3}`