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if z(1)=1-i and z(2) = -2 + 4i then fin...

if ` z_(1)=1-i and z_(2) = -2 + 4i` then find `Im((z_(1)z_(2))/barz_(1))`

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`(z_(1)z_(2))/(barz_(1)) = ((1-i)(-2+4i))/(1+i)`
` = ((-2+4)+i(2+4))/(1+i)`
= ` (2+6i)/(1+i) . (1-i)/(1-i)`
`=((2+6i)(1-i))/(1-i^(2))`
`((2+6)+i(6-2))/2`
` =(8+4i)/2 = 4+2i`
`therefore ((z_(1)z_(2))/(barz_(1)))=2`
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