Mathematics
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OpenStudy (destinyyyy):
Divide and simplify to the form a+bi...
Divide and express the result in standard form. 6i/9-8i
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OpenStudy (destinyyyy):
4i/1+i
OpenStudy (destinyyyy):
If I remember correctly im suppose to times the top and bottom by 1-i
OpenStudy (welshfella):
multiply denominator and numerator by the conjugate of the denominator
OpenStudy (welshfella):
yes that is correct
OpenStudy (destinyyyy):
4i(1-i)/ (1+i)(1-i)
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OpenStudy (welshfella):
right
OpenStudy (welshfella):
now the denominator will work out to a real number
OpenStudy (destinyyyy):
I dont remember if I cancel out like terms between the top and bottom or if I distribute the 4i
OpenStudy (destinyyyy):
4i+4/2
OpenStudy (welshfella):
first compute the denominator
(1 + i)( 1 - i) = 1 + i - i -i^2
= ?
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OpenStudy (destinyyyy):
1-i^2 ....
OpenStudy (welshfella):
and what is i^2 equal to ?
OpenStudy (destinyyyy):
Seriously? -1.
OpenStudy (destinyyyy):
2+2i
OpenStudy (welshfella):
yes im serious
i^2 = -1
so 1 - i^2 = 1 - (-1) = 2
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OpenStudy (destinyyyy):
I already said 2 minutes ago 4i+4/2 .. Im way ahead of you. I already finished
OpenStudy (welshfella):
oh sorry i missed that
OpenStudy (welshfella):
2 + 2i is the final answer
OpenStudy (destinyyyy):
Its fine. But all im asking for is refreshers.
OpenStudy (welshfella):
OK you are doing pretty well
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OpenStudy (destinyyyy):
Um thanks
OpenStudy (welshfella):
very well
OpenStudy (destinyyyy):
Im working on a different one and im a bit stuck at the end...
Divide and express the result in standard form.
6i/9-8i
OpenStudy (destinyyyy):
54i-48/145
OpenStudy (welshfella):
this cant be simplfiesdany further
54i 48
--- - --
145 145
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OpenStudy (welshfella):
- is the standard form
OpenStudy (destinyyyy):
I got help in another question... And what you said is incorrect.