Mathematics: (6-i)/(4+3i) what is the quotient?

x = 960.4Step-by-step explanation:980 = 1000.98 = ln(.98) = 10k ln(e)k = ln(.98)/10k=-0.00202~~~~~~~~~~~~~~x = 1000x = 960.4...

(6-i)/(4+3i) what is the quotient? - id6435586499, querline87

Ответ:

mayhy100

21.01.2022

Mathematics

$\frac{21}{25} - \frac{22}{25} i$

Step-by-step explanation:

$\frac{6 - i}{4 + 3i} = \\ = \frac{(6 - i)(4 - 3i)}{(4 + 3i)(4 - 3i)} = \\ = \frac{24 - 18i - 4i + 3{i}^{2} }{16 - 12i + 12i - 9 {i}^{2} } = \\ = \frac{24 - 18i - 4i + 3( - 1)}{16 - 9( - 1)} = \\ = \frac{24 - 22i - 3}{16 + 9} = \\ = \frac{21 - 22i}{25} = \\ = \frac{21}{25} - \frac{22}{25} i$