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  • 195 votes cast
Jun
18
comment Solution of a quartic equation.
@KlausDraeger: Ah yes, of course! Its so long since I've done this kind of thing that I've forgotten all those little tricks. :)
Jun
17
comment Solution of a quartic equation.
Ah, ok. I thought there may be some formula or quick shortcut to getting that without just doing the algebra. Especially because somebody commented on the question itself just stating the roots again leading me to believe there was no working needed to get there. :)
Jun
17
comment Solution of a quartic equation.
is there some obvious way to get b and 2-b out of that? I assume calculations would yield that but you state it in a matter of fact way as if it should be obvious...
Dec
30
comment Proving that a number is an integer.
Ah, that to me is just simplifying. If you are computing that way then internally you are doing what Kundor has done, ie simplifying things. Personally I don't see this as a proof. Its just asking a computer for the answer. Though of course if you trust the computer to be right its proof enough I guess.
Dec
30
comment Proving that a number is an integer.
@Dr.SonnhardGraubner: Can you clarify what you mean by compute then? You have an expression containing lots of cube roots of numbers that are irrational. They are not going to be able to be stored precisely in a computer so are you doing the calculation or just having something else do the simplification for you?
Dec
30
comment Proving that a number is an integer.
If you are computing it anyway what is the point of expanding first? And how does this prove its an integer? If you are calculating via computers then you can't be sure there isn't some rounding error in there somewhere that makes something very very close to an integer look like an integer. Wouldn't just rearranging and simplifying be a more suitable proof?
Dec
19
comment Angle in a triangle within a circle.
I didn't down vote but I am having trouble intuitively seeing why OTB is similar to ACB...
Nov
26
comment Degree-4 Polynomial
@Kinhu: The first one looks like you may have lost a factor of 2 before the sqrt(2)... I've just done it in my head so I may be wrong but might be worth double checking...
Aug
22
comment How to solve the following equation by extracting square roots?
@TiffanyLee: What is the problem you are having? Do you not understand what has been done here? Do you not understand how it applies to the other questions or something else? One thing all the stack sites have in common is wanting to help questioners learn and not just spoon feed answers...
Aug
22
comment How to solve the following equation by extracting square roots?
Can anybody edit this to improve layout? A line break between the sentence and the question would make it much easier to read but I can't make the edit since it is telling me that I need to add at least 6 characters...
Aug
22
comment How to solve the following equation by extracting square roots?
@labbhattacharjee: true, its not actually a square of a sensible number but square roots of both sides is still an easier way of solving it, I'd have thought.
Aug
22
comment How to solve the following equation by extracting square roots?
@labbhattacharjee: that seems excessive when both sides are already squares so solving is just a matter of taking square roots.
Jul
16
comment Interview riddle
Might be worth seeing if this would be a good fit for puzzling.stackexchange.com (I don't know if it is since although I've popped over there occasionally I've never wanted to post so haven't read their guidelines). Should have people who might be up for the challenge from a less mathematical point of view (which might be appropriate here).
Jul
15
asked Incorrect proof of the infinities between 0 and 1 and 0 and 2
Apr
28
comment Give the remainder of $x^{100}$ divided by $(x-2)(x-1)$.
Out of interest what is the proof that the remainder will be of the form ax+b? It seems like there should be a simple answer but I can't quite see it (happy to ask as a separate question if its not a comment length answer). Oh - or is it just that it must be a smaller order polynomial than what you are dividing by?
Apr
25
comment How to solve for a variable that is only in exponents?
@MichaelHardy: sorry, I meant abiessu whose answer it was. I'm not sure how I got confused about it. :)
Apr
25
comment How to solve for a variable that is only in exponents?
@MichaelHardy: Cool. It might be worth noting that in your question. For two reasons. Firstly I was initially suprised and confused by where the x=2 came from. Secondly my reading of the question is that the title is about solving for a variable in exponents and feels like a question about the general case. All the work you have done is obviously relevant for proving there is only one solution but it might be worth noting that there you'd have to use numerical techniques to get the actual answer. Just my thoughts. :)
Apr
24
comment How to solve for a variable that is only in exponents?
How do you get the solution x=2? You might be able to guess it in this case but you might not have so much luck for different solutions so how would you then solve it?
Apr
4
comment How can a piece of A4 paper be folded in exactly three equal parts?
@StevenTaschuk: Ah, that makes sense and is pretty obvious now you say it and makes a lot of sense.
Apr
4
comment How can a piece of A4 paper be folded in exactly three equal parts?
@StevenTaschuk: What does it mean then?