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  • 如何計(jì)算一元多次方程的所有解(實(shí)數(shù)和虛數(shù)所有的解)?

    如何計(jì)算一元多次方程的所有解(實(shí)數(shù)和虛數(shù)所有的解)?
    比如:
    8721x^15 + 8721x^14 + 8721x^13 + 8721x^12 + 8721x^11 = 46110
    需要所有的15個(gè)解.
    數(shù)學(xué)人氣:169 ℃時(shí)間:2020-06-24 09:50:21
    優(yōu)質(zhì)解答
    建議你用MATLAB或者M(jìn)ATHEMITICA軟件算,三次方程已經(jīng)不好算了啊.
    MATLAB下面輸入:
    solve('x^15+x^14+x^13+x^12+x^11=46110/8721')
    得到結(jié)果為:其中一個(gè)實(shí)數(shù)解,十四個(gè)復(fù)數(shù)解.
    ans =
    [ -1.1152169330840513044678969904181-.25708671244866928739326424594244*i]
    [ -1.1152169330840513044678969904181+.25708671244866928739326424594244*i]
    [ -.98139036033570601454028110913317-.69056221333398920127100845037959*i]
    [ -.98139036033570601454028110913317+.69056221333398920127100845037959*i]
    [ -.62708924488203044214406216030245-.95186741263493297628489107577268*i]
    [ -.62708924488203044214406216030245+.95186741263493297628489107577268*i]
    [ -.14214372312581642017140380564159-1.1086554107767978206603262357566*i]
    [ -.14214372312581642017140380564159+1.1086554107767978206603262357566*i]
    [ .31348796169964275368354468747476-1.1275703015018958584329556590608*i]
    [ .31348796169964275368354468747476+1.1275703015018958584329556590608*i]
    [ .64318720990196283244330241658993-.88609282225033714508577942917884*i]
    [ .64318720990196283244330241658993+.88609282225033714508577942917884*i]
    [ .90701279479658833013435965915705-.47383409159259900230187916490365*i]
    [ .90701279479658833013435965915705+.47383409159259900230187916490365*i]
    [ 1.0043045900588205301248746045470]
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