Narga_Rocks Posted December 8, 2010 Share Posted December 8, 2010 Yeah, but x = - 1 - 1/x was taken directly from the original equation. There shouldn't be any problem with substituting to the original equation afterwards then. Everything is being worked out from the original equation. We won't know whether they have any real solutions or not unless we try to solve it. This method was a little different from the normal squaring method but it led to x = 1, which isn't an imaginary root. Yes, the roots should be complex but he arrived at "x = 1" nonetheless. You can't just reject that if your method was completely valid. Something must have gone wrong when he was taking that route and I just can't see what it is. But that's the thing. The substitution is not a valid step. There is no real solution to x = -1 - 1/x, and yet when he subbed it into the other equation he did not say "x = complex number". This is no different than not saying "x /= 0" after dividing by x and then using x = 0 later on. That's the problem. There are three roots to the cubic function, and if you reject the real solution you arrive at the correct answer. Quote Link to comment Share on other sites More sharing options...
Narga_Rocks Posted December 8, 2010 Share Posted December 8, 2010 (edited) He's creating a third answer from an equation that only has two. The first section is quadratic (two roots). The second is cubic (three roots). Obviously you can't have three roots to the first equation. You have to reject one of them. It's pretty obvious which one. The fact is that x does not equal -1 - 1/x in the real number system and so the substitution is not valid when dealing only with real numbers. Maybe you don't know that without trying to solve it, but the fact remains it is not a true statement. Edited December 8, 2010 by Narga_Rocks Quote Link to comment Share on other sites More sharing options...
Jaybee Posted December 8, 2010 Share Posted December 8, 2010 I'm playing on UT with someone who talks exactly like Nightmare and has a username called "Undertaker". Hmm. Quote Link to comment Share on other sites More sharing options...
Altera the Hun Posted December 8, 2010 Share Posted December 8, 2010 (edited) Just thought I'd leave this here... Edited December 8, 2010 by Asmodeus Quote Link to comment Share on other sites More sharing options...
Ϲharlie Posted December 8, 2010 Share Posted December 8, 2010 Do you think your picspamming will be more appreciated over here, Gio? Quote Link to comment Share on other sites More sharing options...
Parrhesia Posted December 8, 2010 Share Posted December 8, 2010 At least thirty-four steps stand between oujay and the throne, and two of every three of those are Nightmare. Quote Link to comment Share on other sites More sharing options...
Shadow Mir Posted December 8, 2010 Share Posted December 8, 2010 [spoiler=shits and giggles] :awesome: :awesome: So manly, it couldn't fit. 'Course, Manly Lance would fit. Quote Link to comment Share on other sites More sharing options...
Jaybee Posted December 8, 2010 Share Posted December 8, 2010 Dammit you guys are making me want to watch Code Geass something I should have done a month ago but whatever. Quote Link to comment Share on other sites More sharing options...
riariadne Posted December 8, 2010 Share Posted December 8, 2010 I don't even :awesome: :awesome: Quote Link to comment Share on other sites More sharing options...
Amelia Posted December 8, 2010 Share Posted December 8, 2010 I don't even You take the "Astra's Miku vs Amelia's Miku" seriously, don't you? xD Quote Link to comment Share on other sites More sharing options...
Amelia Posted December 8, 2010 Share Posted December 8, 2010 FUUUUUUUUUUUUUUUUUUUUUUCK YEEEEEEEEEEEEEEEEEEEESH VIETNAM BEAT SINGAPORE IN THE SUZUKI CUUUUUUUUUUUUUUUP TAKE THAT FUR BALL!! >w> Quote Link to comment Share on other sites More sharing options...
Jaybee Posted December 8, 2010 Share Posted December 8, 2010 Expected. Singapore's football team is a royal joke. Hell, my class team plays better than those jokers with their fucked-up Serbian coach. Quote Link to comment Share on other sites More sharing options...
Jaybee Posted December 8, 2010 Share Posted December 8, 2010 The best part of Spectral Force Genesis comes after killing a country off for good. Executing every single enemy general there is is Quote Link to comment Share on other sites More sharing options...
peener weener Posted December 8, 2010 Share Posted December 8, 2010 Why isn't the Battle Sprite Splicing Competition poll up? o.o Quote Link to comment Share on other sites More sharing options...
Thor Odinson Posted December 8, 2010 Share Posted December 8, 2010 (edited) I GOT INTO COLLEGE GAIS Not my top choice (yet, that's around mid-late December for Early Decision), but I GOT INTO A COLLEGE Edited December 8, 2010 by Luminescent Blade Quote Link to comment Share on other sites More sharing options...
Tangerine Posted December 8, 2010 Share Posted December 8, 2010 Yay, grats <3. Quote Link to comment Share on other sites More sharing options...
Thor Odinson Posted December 8, 2010 Share Posted December 8, 2010 <3 Thankie~ Quote Link to comment Share on other sites More sharing options...
peener weener Posted December 8, 2010 Share Posted December 8, 2010 I GOT INTO COLLEGE GAIS Not my top choice (yet, that's around mid-late December for Early Decision), but I GOT INTO A COLLEGE Fuck yeah Quote Link to comment Share on other sites More sharing options...
peener weener Posted December 8, 2010 Share Posted December 8, 2010 Dammit I fucking hate StickyKeys. Quote Link to comment Share on other sites More sharing options...
Thor Odinson Posted December 8, 2010 Share Posted December 8, 2010 Now Imma gonna play with hacking again. Switching to windows mode go~ Quote Link to comment Share on other sites More sharing options...
AstraLunaSol Posted December 8, 2010 Share Posted December 8, 2010 You take the "Astra's Miku vs Amelia's Miku" seriously, don't you? XD Yes. Quote Link to comment Share on other sites More sharing options...
peener weener Posted December 8, 2010 Share Posted December 8, 2010 Yes. Why isn't the Battle Sprite Splicing Competition poll up? o.o Quote Link to comment Share on other sites More sharing options...
Darros Posted December 8, 2010 Share Posted December 8, 2010 Actually no I'm pretty sure most people here would change and the FE4 THREAD is bigger and with ten times more manly Nightmare But the Ultima has a sticky. Quote Link to comment Share on other sites More sharing options...
AstraLunaSol Posted December 8, 2010 Share Posted December 8, 2010 (edited) Sticky is a sign of weakness. @Spike: Because I extended it a day. Edited December 8, 2010 by AstraLunaSol Quote Link to comment Share on other sites More sharing options...
peener weener Posted December 8, 2010 Share Posted December 8, 2010 But the Ultima has a sticky. Because it is a topic devourer. It would get out of page a lot if it weren't for sticky. 'Sides the Empire is bigger. Quote Link to comment Share on other sites More sharing options...
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