Integral Solutions of the Homogeneous Cubic Equation
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1 Itertol Jorl of Cottol Egeerg Reserch Vol 0 Isse 5 Itegrl Soltos of the Hoogeeos Cc Eto M..Gol V.Geeth. Professor Dertet of Mthetcs Shrth Idr Gdh College Trch. sst.professor Dertet of Mthetcs Cer College For Woe Trch. STRCT: The cc eto s lsed for ts o-ero tegrl soltos. fe terestg reltos etee the soltos d secl ers re ehted. Keords: Hoogeeos eto th fe kos Itegrl soltos. M.Sc 000 Mthetcs sject clssfcto:d5 NOTTIONS: Secl Ner Nottos Deftos Gooc er G Proc er P Str er S 6 Octhedrl er OH I. I.INTRODUCTION Itegrl soltos for the hoogeeos or o-hoogeeos Dohte cc etos s terestg cocet s t c e see fro[-]. I [-] fe secl cses of cc Dohte etos th kos re stded. I [ -5] the cc eto th fe kos s stded for ts o-ero tegrl soltos. Ths cocto cocers th other terestg cc eto th fe kos ge for deterg ts tegrl soltos. fe terestg reltos etee the soltos re reseted. II. METHOD OF NLYSIS The cc Dohte eto th fe kos to e soled for gettg o-ero tegrl soltos s O sstttg the ler trsfortos leds to.ptter : Eto c e rtte s.jcerole.co M 0 Pge
2 Itegrl Soltos of the Hoogeeos Cc Eto.jcerole.co M 0 Pge hch s stsfed o 5 Sstttg 5 the to sets of soltos stsfg re oted s follos: SET : SET :.Ptter : Eto c e rtte s 6 sse 7 Wrte s 8 Sstttg 7 d 8 6 d sg the ethod of fctorto defe 9 Etg rel d gr rts of 9e he s s
3 Itegrl Soltos of the Hoogeeos Cc Eto.jcerole.co M 0 Pge 5 The corresodg tegrl les of d stsfg re oted s s s s. Proertes:.Ech of the follog eresso s st er.. 6. fors Pthgore trle..if re tke s the geertors of the Pthgore trgle hose sdes re ; ; the the rodct s s reresets to tes ts re.. 0od 5. 0od.Ptter : I 6 c e rtte s ; 0 Proceedg s Ptter II 0 Etg rel d gr rts
4 Itegrl Soltos of the Hoogeeos Cc Eto.jcerole.co M 0 Pge 6 Sce or s to fd the tegrl soltos sstttg 7 d 5 Sstttg d d sg 5 e he the tegrl soltos of s Proertes:. 0od 8. 0od8 G. 0 P. 0od S 5. 0od OH 6. 0 s erfect sre. 7. Ech of the follog eresso s st er III. CONCLUSION To coclde oe serch for other tters of soltos d ther corresodg roertes. REFERENCES []. L.E. Dckso Hstor of Theor of Ners Vol Chelse Plshg Co Ne York 95. []. L.J.Mordell Dohte Etos cdec PressLodo969. []. M.. Gol d S. Prelth Itegrl soltos of k llet of Pre d led Sceces Vol.9ENo []. M.. Gol d V. Pdchel Rerkle Soltos o the cc eto th for kos 8 trctc J Mth Vol.7 No [5]. M.. Gol d.sk Itegrl soltos of hoogeeos cc eto th for kos Ict. J.Sc.Tech.Vol.No
5 Itegrl Soltos of the Hoogeeos Cc Eto [6]. M..Gol d S.Prelth O the cc Dohte eto th for kos Itertol Jorl of Mthetcl Sceces Vol.9No.- J-Je [7]. M..Gol d J.Klgr Itegrl soltos of llet of Pre d led Sceces Vol.9ENo [8]. M.. Gold S. Prelth Itegrl soltos of k The Glol Jorl of led Mthetcs d Mthetcl Sceces Vol.No [9]. M..Gol S.Vdhlksh d.mllk Oserto o cc eto th for kos The Glol Jorl of led Mthetcs d Mthetcl Sceces Vol.No [0]. M..Gol S.Vdhlksh d.mllk Oserto o cc eto th for kos IJMPVol.No []. M..Gol S.Vdhlksh d G.Sth O the hoogeeos cc eto th for kos Dscoer Vol. N []. M..Gol d K.Geeth Osertos o cc eto th for kos Itertol Jorl of Pre d led Mthetcl Sceces Vol.6No []. M..Gol Mj Soth d V.Sgeeth Lttce Pots o the hoogeeos cc eto th for kos k k. Id jorl of Scece Vol.No []. M.. Gol S.Vdhlkshd T.R.UshR O the cc eto th fe kos t Id jorl of Scece Vol.No [5]. M.. Gol S.Vdhlkshd T.R.UshR Itegrl soltos of the cc eto essel J.Mth Vol.No kt.jcerole.co M 0 Pge 7
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