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Question

Solve the following equations,2(1+i)x24(2i)x53i=0.

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Solution

2(1+i)x24(2i)x53i=0.
or, x=4(2i)±16(2i)2+8(1+i)(5+3i)4(1+i)
or, x=4(2i)±8{2(44i1)+(53+8i)}4(1+i)
or, x=4(2i)±8×84(1+i)
or, x=4(2i)±84(1+i)
or, x=4i4(1+i) or x=4(4i)4(1+i)
or, x=i(1+i) or x=(4i)(1+i)
or, x=i(1i)(2) or x=(4i)(1i)(2)
or, x=(1+i)(2) or x=(35i)(2)

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