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FP1 Complex Numbers
z=-1+3i
Express z+2/z in terms of a+ib
(-1+3i)+2/(-1+3i)
(-1+3i)²+2
(-1+3i)(-1+3i)+2
1-6i+9i²+2
1-6i-9+2
-7-6i
but its wrong??
can someone please help me
Express z+2/z in terms of a+ib
(-1+3i)+2/(-1+3i)
(-1+3i)²+2
(-1+3i)(-1+3i)+2
1-6i+9i²+2
1-6i-9+2
-7-6i
but its wrong??
can someone please help me
You forget to divide your answer through by z?
KAISER_MOLE
You forget to divide your answer through by z?
what ya mean?
john!!
I dont understand your working at all, looks like youre just calculating z^2 + 2
can you confirm if the questio is z + (2/z) or (z + 2)/z?
can you confirm if the questio is z + (2/z) or (z + 2)/z?
z+ (2/z)
i just subbed in z
ok i understand that to rationalise (5+6i)/(4-3i) you times both by (4+3i) but im not too sure as to what you did here:
=-1+3i +2/(-1+3i)
=-1+3i + 2(-1-3i)/((-1+3i)(-1+3i))
doesnt one of those bottom (-1+3i)'s need to be -3i in order to rationalise??
=-1+3i +2/(-1+3i)
=-1+3i + 2(-1-3i)/((-1+3i)(-1+3i))
doesnt one of those bottom (-1+3i)'s need to be -3i in order to rationalise??
Vazzyb
(-1+3i) + 2/(-1+3i)
((-1+3i)^2 + 2)/(-1+3i)
(-(6 + 6i))/(-1+3i)
(-(6 + 6i)(-1-3i)/10
(-12 + 24i)/10
-(6/5) + (12/5)i
((-1+3i)^2 + 2)/(-1+3i)
(-(6 + 6i))/(-1+3i)
(-(6 + 6i)(-1-3i)/10
(-12 + 24i)/10
-(6/5) + (12/5)i
surely tho when you times both sides by (-1+3i) you get rid of the (-1+3i) underneath the 2??
Vazzyb
a + (2/a) -> a^2/a + 2/a => (a^2 + 2)/a
that is the question isn't it?
that is the question isn't it?
i see what uve done me old chum! lol
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