#complex numbers

30 messages · Page 1 of 1 (latest)

silver oracle
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not sure how I can equate it as theres nothing to simplify

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fringe dawn
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a+abi+3i -3b= 25-39i
a-3b=25
abi+3i=-39i

silver oracle
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when u expand it

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isnt it

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a + abi +3i + 3bi^2

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?

fringe dawn
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i * i =-1
3i * bi = -3b

silver oracle
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oh shi yhh

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right i forgot about that

silver oracle
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and the 3rd line u could cancel the i out so it would be ab + 3 =39

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so ab = 36

fringe dawn
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Yeah but you can infer a and b from line 3

silver oracle
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could u do simultaneous equations?

silver oracle
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thanks @fringe dawn

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got the answer

slim scarab
silver oracle
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i forgot now

silver oracle
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i did the first one for a i think

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then plug into second equation

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then expand

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and make into quadratic

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then solve from there

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then to find the other variable, in this case b, you would substitue your values for a into the equation like simultaneous equatuons

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thats the process i believe

slim scarab
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Okay thank you, did you get 2 pairs of results