Mathematics: Find the quotient. show all work for full credit.-2+i/-8-6i

I would make it an equation x+3x+3+5x= (6+x)4...

Find the quotient. show all work for full credit.-2+i/-8-6i

Ответ:

anaiyamills

20.06.2020

Mathematics

The required simplified quotient is $\dfrac{1}{10}-\dfrac{1}{5}i.$

Step-by-step explanation: We are given to find the following quotient :

$Q=\dfrac{-2+i}{-8-6i}=\dfrac{2-i}{8+6i}.$

To find the given quotient, we must multiply both the numerator and denominator by the conjugate of (8+6i), that is, (8-6i).

So, we have

$Q\\\\\\=\dfrac{2-i}{8+6i}\\\\\\=\dfrac{(2-i)(8-6i)}{(8+6i)(8-6i)}\\\\\\=\dfrac{16-12i-8i+6i^2}{64-36i^2}\\\\\\=\dfrac{16-20i-6}{64+36}~~~~~~~~~~~~~~~~~~[\textup{since }i^2=-1]\\\\\\=\dfrac{10-20i}{100}\\\\\\=\dfrac{1-2i}{10}\\\\\\=\dfrac{1}{10}-\dfrac{1}{5}i.$

Thus, the required simplified quotient is $\dfrac{1}{10}-\dfrac{1}{5}i.$

0,0(0 оценок)

Find the quotient. show all work for full credit.-2+i/-8-6i

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question