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2. Describe how to use the conjugate to divide 2 − i by 3 + 2i, and then find the quotient.

User LeMoussel
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1 Answer

6 votes

Answer:


(4)/(13)-(7)/(13)i

Explanation:


(2-i)/(3+2i)

Multiply and divide by the conjugate.

The conjugate is the denominator with the sign of the complex number the opposite of the denominator.


(2-i)/(3+2i)(3-2i)/(3-2i)\\ =(2* (3-2i)-i* (3-2i))/(3^2-(2i)^2)\\ =(6-4i-3i+2i^2)/(9+4)\\ =(4-7i)/(13)\\ =(4)/(13)-(7)/(13)i

Quotient =
(4)/(13)-(7)/(13)i

User Hiren Patel
by
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