Question

divide.

\\(\frac{4i}{5 - 6i}\\)

\\(\frac{4i}{5 - 6i} = \\)

(simplify your answer. type an integer or a fraction. type your answer in the form a + bi.)

Explanation:

Multiply by the complex conjugate

$$ \frac{4i}{5-6i} = \frac{4i(5+6i)}{(5-6i)(5+6i)} $$

Expand the numerator and denominator

$$
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$$

Write in standard form

$$ \frac{-24+20i}{61} = -\frac{24}{61} + \frac{20}{61}i $$

Answer:

Divide.

\(\frac{4i}{5-6i} =\) <blank>\(-\frac{24}{61}+\frac{20}{61}i\)</blank>

(Simplify your answer. Type an integer or a fraction. Type your answer in the form a + bi.)