KarimeW403490 KarimeW403490
  • 25-10-2022
  • Mathematics
contestada

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)

Respuesta :

SherryQ679682 SherryQ679682
  • 25-10-2022
Explanation:

A complex number z is written in the following form:

[tex]z=\text{ }a+bi\text{ = \lparen a,b\rparen}[/tex]

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

Now, consider the following complex numbers:

[tex]8\text{ -i}[/tex]

and

[tex]3\text{ -2i}[/tex]

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

[tex]a=\text{ 8}[/tex]

and

[tex]a=3[/tex]

Then, we can conclude that the correct answer is:

Answer:

For z= 8-i

[tex]a=\text{ 8}[/tex]

For z= 3 - 2i

[tex]a=\text{ 3}[/tex]

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