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楼主: drc2000

请教一个,关于m元n次方程组的问题

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发表于 2014-11-14 00:33 | 显示全部楼层
事不过3,大路通天,半路必出程咬金。
发表于 2014-11-14 04:09 | 显示全部楼层
本帖最后由 红树 于 2014-11-14 08:21 编辑

方程组,,,方程组,,,
发表于 2014-11-14 04:12 | 显示全部楼层
本帖最后由 红树 于 2014-11-14 08:20 编辑

方程组,,,方程组,,,
发表于 2014-11-14 04:28 | 显示全部楼层
本帖最后由 红树 于 2014-11-14 04:54 编辑

方程组,,,,方程组,,,
发表于 2014-11-15 08:18 | 显示全部楼层
本帖最后由 风花飘飘 于 2014-11-15 00:25 编辑

解方程组:
x^3=y------------------------------------------(1)
2x^3+3x^2y+4xy^2+5y^3+6x^2+7xy+8y^2+9x+10y+11=0------------------------------(2)

消去x,得:

-((-1199994244012087413521782485*y^45-15543324657351808012250404302*y^44-116654980919891411732407748178*y^43+sqrt(1448*y^6+2796*y^5+5235*y^4+8306*y^3+7335*y^2+6048*y+4104)*(2022980726524295688298330*3^(5/2)*y^42+24250204441987715945001626*3^(5/2)*y^41+56844352886125284798905566*3^(7/2)*y^40+33575139949292630512575556*3^(11/2)*y^39+3956975841543950847529025188*3^(5/2)*y^38+4951600077845380537574275832*3^(7/2)*y^37+1827497114103650641931445880*3^(11/2)*y^36+1823144712869564745624985840*3^(13/2)*y^35+44829296480750134951684865968*3^(9/2)*y^34+1015948693581024129924971266496*3^(5/2)*y^33+2374757010723006678501140142784*3^(5/2)*y^32+1727252958517534459177779460736*3^(7/2)*y^31+3533646607695473568194354988928*3^(7/2)*y^30+20404286585192271107328149522432*3^(5/2)*y^29+12350637189213126329117653169152*3^(7/2)*y^28+21205219299787880014053286008832*3^(7/2)*y^27+11494520769207969630316902507008*3^(9/2)*y^26+17728074507824245599220988862976*3^(9/2)*y^25+233621585271033183046866079846912*3^(5/2)*y^24+324989139006149621691450021665792*3^(5/2)*y^23+143232666726574319137163117820928*3^(7/2)*y^22+180033915801515113942343972632576*3^(7/2)*y^21+645325547559986768644293342914560*3^(5/2)*y^20+244240735351848624314423707062272*3^(7/2)*y^19+263384898975789655484631591079936*3^(7/2)*y^18+9982798569382170099537985110016*3^(13/2)*y^17+1075970271021013173528084709376*3^(17/2)*y^16+2963793491700842640058763411456*3^(15/2)*y^15+95226368963265847578859896832*3^(21/2)*y^14+77874653642194125979427176448*3^(21/2)*y^13+59867615835280918333961830400*3^(21/2)*y^12+14372672021165120011469127680*3^(23/2)*y^11+3218927685417399221495332864*3^(25/2)*y^10+2006951881425841207596941312*3^(25/2)*y^9+42720048634293533679419392*3^(31/2)*y^8+2493062775800639742803968*3^(35/2)*y^7+3549368687852846963228672*3^(33/2)*y^6+2055711714470462488576*3^(45/2)*y^5+20390654186325802483712*3^(39/2)*y^4+6302346849451070455808*3^(39/2)*y^3+516602249656400871424*3^(41/2)*y^2+30055819130049658880*3^(43/2)*y+2752412849186799616*3^(43/2))-656585877636028710580256521584*y^42-3024845652055157965179890163930*y^41-11959757625005210689762499935368*y^40-41780943836355161379185551895196*y^39-131419728515637200658253664949984*y^38-377237473521086850301705819299912*y^37-998027954968870191174065827420416*y^36-2451826302760815490286688651262224*y^35-5625880866802110908721713862317952*y^34-12112808263941579841861607174315520*y^33-24561184804258834946588597967528960*y^32-47042955371979014101888698937068672*y^31-85314535138218180296646224238676992*y^30-146783346454344548242139581085264640*y^29-239956780236144769682848588572292608*y^28-373187070653593821465341538404258304*y^27-552675142643414776440025567763214336*y^26-779949926274045288805581426968744448*y^25-1049350268354081789927653775818893312*y^24-1346300782046787915529319153904577536*y^23-1647226299439890046336086621617086464*y^22-1921707718757973101124785229878913024*y^21-2136924362270038434901111694871871488*y^20-2263659759110350898077554336804950016*y^19-2282481890136160878450983636613169152*y^18-2188392859376951680348605670764920832*y^17-1992475811852895486051519437159202816*y^16-1719898801069445645800049722179846144*y^15-1404720615949172486943340342332358656*y^14-1082932573411306797649759137504854016*y^13-785701879719613427518474282609803264*y^12-534564334344577887510432338867060736*y^11-339556107992710935679641727862833152*y^10-200270153282167858550714336514539520*y^9-108924248214514081534845592558632960*y^8-54149110195334967476892770392866816*y^7-24319946579959687066670061877985280*y^6-9713168243605919547167042783674368*y^5-3372323252389757656236043353980928*y^4-983519915390361591834012256567296*y^3-227561508482796683453682759499776*y^2-37238997413986892718033862656000*y-3194656948022354362594416918528)*(sqrt(1448*y^6+2796*y^5+5235*y^4+8306*y^3+7335*y^2+6048*y+4104)-7*3^(3/2)*y^3-7*3^(3/2)*y^2-3^(7/2)*y-4*3^(5/2))^(2/3)-y=0

发表于 2014-11-15 08:31 | 显示全部楼层
x = ((sqrt(3)*%i-1)*y^(1/3)/2)

2*x^3+3*x^2*y+4*x*y^2+5*y^3+6*x^2+7*x*y+8*y^2+9*x+10*y+11=0

2*((sqrt(3)*%i-1)*y^(1/3)/2)
^3+3*((sqrt(3)*%i-1)*y^(1/3)/2)
^2*y+4*((sqrt(3)*%i-1)*y^(1/3)/2)
*y^2+5*y^3+6*((sqrt(3)*%i-1)*y^(1/3)/2)
^2+7*((sqrt(3)*%i-1)*y^(1/3)/2)
*y+8*y^2+9*((sqrt(3)*%i-1)*y^(1/3)/2)
+10*y+11=0
发表于 2014-11-15 08:31 | 显示全部楼层
本帖最后由 风花飘飘 于 2014-11-15 00:45 编辑

x = ((sqrt(3)*%i-1)*y^(1/3)/2)

2*x^3+3*x^2*y+4*x*y^2+5*y^3+6*x^2+7*x*y+8*y^2+9*x+10*y+11=0

2*((sqrt(3)*%i-1)*y^(1/3)/2)
^3+3*((sqrt(3)*%i-1)*y^(1/3)/2)
^2*y+4*((sqrt(3)*%i-1)*y^(1/3)/2)
*y^2+5*y^3+6*((sqrt(3)*%i-1)*y^(1/3)/2)
^2+7*((sqrt(3)*%i-1)*y^(1/3)/2)
*y+8*y^2+9*((sqrt(3)*%i-1)*y^(1/3)/2)
+10*y+11=0


10*y^3+4*sqrt(3)*%i*y^(7/3)-4*y^(7/3)+16*y^2-3^(3/2)*%i*y^(5/3)-3*y^(5/3)+7*sqrt(3)*%i*y^(4/3)-7*y^(4/3)+24*y-2*3^(3/2)*%i*y^(2/3)-6*y^(2/3)+3^(5/2)*%i*y^(1/3)-9*y^(1/3)+22 =0
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