Question

Find the quotient of (9-6i)/(5+3i)

Answer 1

The value of the quotient (9-6i)/(5+3i) is $\frac{27-57i }{34}$

How to evaluate the quotient?

The expression is given as:

(9-6i)/(5+3i)

Rewrite properly as:

$\frac{9-6i}{5+3i}$

Rationalize the expression

$\frac{9-6i}{5+3i} * \frac{5-3i}{5-3i}$

Evaluate the product

$\frac{45 - 27i - 30i + 18i^2}{25-9i^2}$

In complex numbers;

i^2 = -1

So, we have:

$\frac{45 - 27i - 30i + 18(-1)}{25-9(-1)}$

Evaluate the like terms

$\frac{27-57i }{34}$

Hence, the value of the quotient (9-6i)/(5+3i) is $\frac{27-57i }{34}$

Read more about quotients at:

brainly.com/question/629998

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