twilight Posted April 21, 2012 Report Share Posted April 21, 2012 Just look at it closer.If I have 2 conjectures, do I write both of them and prove both (I already did) or just choose one? Reply Link to post Share on other sites More sharing options...
TogoPogo Posted April 22, 2012 Report Share Posted April 22, 2012 Could someone provide hints as to how the factorization of zn-1=0 is related to the conjecture? Reply Link to post Share on other sites More sharing options...
twilight Posted April 22, 2012 Report Share Posted April 22, 2012 z2-1=(z-1)(1+z)z3-1=(z-1)(1+z+z2)See a pattern? Reply Link to post Share on other sites More sharing options...
TogoPogo Posted April 23, 2012 Report Share Posted April 23, 2012 Thanks, I got the proof now. Has anybody done this IA before and would like to help me clarify some of my questions? :/ Reply Link to post Share on other sites More sharing options...
pigletbabe Posted April 23, 2012 Report Share Posted April 23, 2012 z2-1=(z-1)(1+z)z3-1=(z-1)(1+z+z2)See a pattern?So what does this have to do with the length of the line segments? I thought we had to make a conjecture related to the LENGTHS of the line segments. Reply Link to post Share on other sites More sharing options...
twilight Posted April 23, 2012 Report Share Posted April 23, 2012 I was answering toCould someone provide hints as to how the factorization of zn-1=0 is related to the conjecture? Reply Link to post Share on other sites More sharing options...
pigletbabe Posted April 23, 2012 Report Share Posted April 23, 2012 I was answering toCould someone provide hints as to how the factorization of zn-1=0 is related to the conjecture?sorry bro Reply Link to post Share on other sites More sharing options...
bomaha Posted April 23, 2012 Report Share Posted April 23, 2012 (edited) Thanks, I got the proof now. Has anybody done this IA before and would like to help me clarify some of my questions? :/Which bullet points do you need help with? Specify please. What are your questions? Edited April 23, 2012 by bomaha Reply Link to post Share on other sites More sharing options...
pigletbabe Posted April 24, 2012 Report Share Posted April 24, 2012 What are we supposed to prove for z^n=a+bi, where la+bil=1? Reply Link to post Share on other sites More sharing options...
krakaton Posted April 24, 2012 Report Share Posted April 24, 2012 What are we supposed to prove for z^n=a+bi, where la+bil=1?As best as I understood it, we simply need to expand our conjecture to include this contingency and then (if necessary) prove whatever expansion has been made.Finally, if possible, one should also expand the conjecture to include all equations of the form z = a + ib Reply Link to post Share on other sites More sharing options...
pigletbabe Posted April 25, 2012 Report Share Posted April 25, 2012 I believe that proving, in the portfolio, is the hardest part.I have my conjecture and i have my "formula", and Im planning to prove it by induction.However, by formula is a..multiplication formula? and not addition. Induction is for like.. addtions isnt it?I have no idea how to prove this.. Reply Link to post Share on other sites More sharing options...
DoctorHer Posted April 27, 2012 Report Share Posted April 27, 2012 Hey guys, I've done most of the portfolio, but apparently my method of proving isn't actually proving... Also, I still don't get what the last two bullet points are asking for. Tips anyone? /: Reply Link to post Share on other sites More sharing options...
vsalej Posted May 21, 2012 Report Share Posted May 21, 2012 help with graphing in autograph!! plz! Reply Link to post Share on other sites More sharing options...
Harshay Shah Posted May 22, 2012 Report Share Posted May 22, 2012 hi guys, I, too, have a few doubts... firstly. formulating the conjecture----q1. we have to formulate a conjecture between what? length and power of z right? secondly, wanted a few hints so that i can at least get a direction as to what the conjecture might be.. lastly, i wanted to know what does 'generalizing' exactly mean?? ( part b, third bullet point) thanks and please help.. have to submit the portfolio tomorrow :/ Reply Link to post Share on other sites More sharing options...
TheGlitch Posted May 23, 2012 Report Share Posted May 23, 2012 z2-1=(z-1)(1+z) z3-1=(z-1)(1+z+z2) See a pattern? Well.... my conjecture was related to lengths, then my teacher told me to reconsider, and i thought what does factorizing have to do, it didn't fit, but u just gave me a guideline, now if i only relate this to lengths , and thx alot ! Reply Link to post Share on other sites More sharing options...
LikeA'13OSS Posted May 24, 2012 Report Share Posted May 24, 2012 Im starting this portfolio now... what softwares do you suggest... i actually havent used any graphing softwares before so what would be the easiest to use? Reply Link to post Share on other sites More sharing options...
LikeA'13OSS Posted May 26, 2012 Report Share Posted May 26, 2012 just use Autograph!Ok i have never used autograph before or any other software im just gonna go ahead with it. Any ideas on how to plot the unit circle and the three roots on the argand diagram using autograph? (This is for part A bullet point 2) Reply Link to post Share on other sites More sharing options...
CathyPl Posted May 28, 2012 Report Share Posted May 28, 2012 Hey guys, just a small question. Does drawing the lines between roots relate to the sides of the polygon or the diagonals? My teacher is making me confuse Reply Link to post Share on other sites More sharing options...
Christina perera Posted May 29, 2012 Report Share Posted May 29, 2012 I have got the conjecture for part A...can anyone who has completed the portfolio tell me if it is right. Also I have no idea about the link between the factorising and the conjecture. For part B , do i need to develop an equation with respect to the roots ? I am really confused about part B. Can someone please help me?Thanks in advance! Reply Link to post Share on other sites More sharing options...
mayank06090 Posted May 30, 2012 Report Share Posted May 30, 2012 Okay so i guess there is a little ambiguity on part A, whether the line segments need to be drawn to adjacent roots or all roots. Can someone please help me out ? In another school they have been told that its all the roots! Reply Link to post Share on other sites More sharing options...
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