wizardcool2005
wizardcool2005 wizardcool2005
  • 02-01-2021
  • Mathematics
contestada

Select the correct answer.
What is the standard form of this complex number?
3i + ( + 2i ) – (3 + 3i)

Select the correct answer What is the standard form of this complex number 3i 2i 3 3i class=

Respuesta :

gmany
gmany gmany
  • 02-01-2021

Answer:

[tex]\huge\boxed{A.\ -\dfrac{9}{4}+2i}[/tex]

Step-by-step explanation:

The standard form of a complex number:

[tex]z=a+bi\\\\a,\ b\in\mathbb{R}[/tex]

[tex]3i+\left(\dfrac{3}{4}+2i\right)-(3+3i)=3i+\dfrac{3}{4}+2i-3-3i\\\\=\left(\dfrac{3}{4}-3\right)+(3+2-3)i=-2\dfrac{1}{4}+2i=-\dfrac{9}{4}+2i[/tex]

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