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If (z)(1)=2-i, (z)(2)=1+i, find |((z)(1)...

If `(z)_(1)=2-i`, `(z)_(2)=1+i`, find `|((z)_(1)+(z)_(2)+1)/((z)_(1)-(z)_(2)+1)|`

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|(z_(1)+z_(2)+1)/(z_(1)-z_(2)+1)|=|(2-i+1+i+1)/(2-i-1-i+1)|=|(4)/(2-2 i)|=|(2)/(1-i)|=|(2(1+i))/((1-i)(1+i))|=|(2(1+i))/(1+1)|.
.=|(2(1+i))/(2)|=|1+i|=sqrt(1^(2)+1^(2))=sqrt(2).
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V PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
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