Question #58280

Find the difference between (7 - 3i) and (5 -7i)
1

Expert's answer

2016-03-09T08:36:43-0500

Answer on Question #58280 – Math – Complex Analysis

Question

Find the difference between (7-3i) and (5-7i).

Solution

(a1+b1i)(a2+b2i)=(a1a2)+(b1b2)i.(a_1 + b_1 i) - (a_2 + b_2 i) = (a_1 - a_2) + (b_1 - b_2) i.


Thus,


(73i)(57i)=(75)+(3(7))i=2+(3+7)i=2+4i.(7 - 3i) - (5 - 7i) = (7 - 5) + (-3 - (-7)) i = 2 + (-3 + 7) i = 2 + 4i.


Answer: 2+4i2 + 4i.

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