Respuesta :

Question:

Solution:

Let the expression:

[tex]\frac{-5\text{ + 7i}}{3-i}[/tex]

this expression is equivalent to:

[tex]\frac{-5\text{ + 7i}}{3-i}\text{ x }\frac{3+i}{3+i}\text{ }[/tex]

that is

[tex]=\text{ }\frac{(-5+7i)(3+i)}{(3-i)(3+i)}\text{ = }\frac{-22+16i}{10}[/tex]

this is equivalent to:

[tex]=\text{ }\frac{-22+16i}{10}\text{ = }\frac{-22}{10}\text{ + }\frac{16}{10}i\text{ }[/tex]

then, we can conclude that the correct answer is:

[tex]=\text{ }\frac{-22}{10}\text{ + }\frac{16}{10}i\text{ }[/tex]

that is:

[tex]=-2.2\text{ + 1.6}i\text{ }[/tex]

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