The value of the quotient (9-6i)/(5+3i) is [tex]\frac{27-57i }{34}[/tex]
The expression is given as:
(9-6i)/(5+3i)
Rewrite properly as:
[tex]\frac{9-6i}{5+3i}[/tex]
Rationalize the expression
[tex]\frac{9-6i}{5+3i} * \frac{5-3i}{5-3i}[/tex]
Evaluate the product
[tex]\frac{45 - 27i - 30i + 18i^2}{25-9i^2}[/tex]
In complex numbers;
i^2 = -1
So, we have:
[tex]\frac{45 - 27i - 30i + 18(-1)}{25-9(-1)}[/tex]
Evaluate the like terms
[tex]\frac{27-57i }{34}[/tex]
Hence, the value of the quotient (9-6i)/(5+3i) is [tex]\frac{27-57i }{34}[/tex]
Read more about quotients at:
https://brainly.com/question/629998
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