The two complex number Z1 = a/(1+i) and Z2 = 3/(1-2i) where a, b are real numbers. are such that Z1 + Z2 = 3. Calculate the value of a and b.
Okay, so i went about solving this question as an ordinary complex question.
a(1-i)/(1+i)(1-i) + b(1+2i)/(1-2i)(1+2i) = 3(1-i)(1+2i)
eventually getting,
(a-ai/2) + (b+2ib/5) = 9-3i
however, that doesn't seem to make the question any easier. and i'm not sure if multiplying the whole equation by 5 will solve the question. As it makes it just as complicated as it was in the beginning..so you guys, show me how to continue on or even better a quicker and easier method..if there is...thanks..ppl
2007-08-09
05:16:47
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4 answers
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asked by
SSj4Monkey
1