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/sci/ - Science & Math

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10766873 No.10766873 [Reply] [Original]

Why is this allowed lol

x/(x^3 -8) has zeroes at 2, and -1 +- i sqrt(3)

But its allowed to have the imaginary zeroes under the fraction for some reason

>> No.10766877

>>10766873
You are right, its not allowed, I will call the police right now

>> No.10766879

I read your post multiple times and I still have no idea what you're trying to communicate. Sorry.

>> No.10766890

Those are poles

>> No.10766894

>>10766879
Why are you allowed to have imaginary zeroes under a fraction bar?
It should make the problem undefined (divide by zero), right?

>> No.10766895

x^3-8 has no imaginary parts.

>> No.10766899

>>10766895
yes it does

>> No.10766901

>>10766894
>Why are you allowed to have imaginary zeroes under a fraction bar?
Who says you are?

>> No.10766903

>>10766899
The solution does. It doesn't. We only conjugate to remove imaginary parts if they're... there.

>> No.10766905
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10766905

>>10766894
Just avoid those points and it's all good

>> No.10766907

>>10766905
Yes but the domain includes the imaginary zeroes according to Wolfram alpha

>> No.10766910

wow wait I'm retarded, the domain is all reals not fucking imaginary why am I so dumb

>> No.10766913
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10766913

>>10766907
Are you sure about that?