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A Level Further Maths Syllabus - Can someone please help?

Z = 1 / 2 + i

I need to calculate Z - 1 / Z.

Can someone please help as I'm stuck ? Thanks

Regards
Vandomo


Original post by van.domo
Z = 1 / 2 + i

I need to calculate Z - 1 / Z.

Can someone please help as I'm stuck ? Thanks

Regards
Vandomo




Just try step by step. It's only simple stuff put together


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Reply 2
Original post by van.domo
Z = 1 / 2 + i

I need to calculate Z - 1 / Z.

Can someone please help as I'm stuck ? Thanks

Regards
Vandomo





Need to calculate? (Z-1)/Z Or Z - (1/Z) ??

I'll assume the second one, so we know what Z is
1/(2+i) * (2-i)/(2-i)

= (2-i)/(5)

then - 1/Z .. (1/Z)= 2+i
so (2-i)/5 - (2+i)
= ((2/5) -2) - ((1/5)+2)i
I believe you can do the rest?

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