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Question

Solve :x2(32+2i)x+62i=0.

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Solution

Given,

x2(32+2i)x+62i=0

(a+bi)2(32+2i)(a+bi)+62i=0

(a2b232a+2b)+i(2a+2ab+6232b)=0+0i

[a2b232a+2b=02a+2ab+6232b=0]

solving the above equations, we get,

[a2b232a+2b=02a+2ab+6232b=0]:(a=0,b=2a=32,b=0)

x=2i,x=32

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