Answered

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Find the quotient. Write your answer in standard form. 3+ O A. + COLO O B.-1 O C. 1-1 OD. llo 011

Find The Quotient Write Your Answer In Standard Form 3 O A COLO O B1 O C 11 OD Llo 011 class=

Sagot :

Option A is correct.

The given complex number is

[tex]\frac{3+i}{3-i}[/tex]

Multiply the numerator and denominator by 3+i and solve as follows:

[tex]\begin{gathered} \frac{3+i}{3-1}\times\frac{3+i}{3-i}=\frac{(3+i)^2}{3^2-i^2} \\ =\frac{3^2+i^2+6i}{9+1} \\ =\frac{9-1+6i}{10} \\ =\frac{8+6i}{10} \\ =\frac{8}{10}+\frac{6}{10}i \\ =\frac{4}{5}+\frac{3}{5}i \end{gathered}[/tex]

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