Are you absolutely certain you want to do this?
This code:
syms m x
Eqn = x == ((10/11)^5.5)*((1+0.1*m^2)^5.5)/m;
[sm,parms,cndx] = solve(Eqn, m, 'ReturnConditions',true);
that because of the fractional exponent, produces a 22-degree polynomial:
vpasm =
-3.1622776601683793319988935444327i
3.1622776601683793319988935444327i
(0.59202525240178083265618624864146*root(z^22 + (34860391506276308541159338147840*x^2*z^20)/111075950513479913205450575329 + (552384952714027907217549469242274644617007279112835037134848000*x^4*z^18)/12337866782473038594087556930907531233679671657017103458241 + (5251733376487346941160836540430428071460816952419991896171299595991764288452352445629071360000*x^6*z^16)/1370440280171882875829607380209003313786697543160863199244638210825566478521728976336289 + (33286814834714056038533333076601324942531363735689209345082718267906785752560843524522772132126776733353439326211198156800000*x^8*z^14)/152222956742051609837417466026252129894278374785288216778835780056098728582217653888704412602912474078957801630814081 + (147686177817189213275985707024838946125399279811708587181765684771524786517476527769147537368610128965206020319036401641236169191816313631898220678348800000*x^10*z^12)/16908309610095718127506208687221727556278823964557505289437443440164507137850971447602758847338562761365129266421596653066302148818760396084407649 + (468036179888432311238460066656571399357360878734376427685057052323506249724795791903482582181045398672155132718364493311100234325400449265684505901699377740093326658489135107407872000000*x^12*z^10)/1878106561517588832987808463850842148684870868862986099744369505062771229836552864333642465346793698416179301424740885482515936129433952867874589206572031389196007333218291521 + (1059475614935890660027787268890650915302497640949491805196797301033130866038840741758734104596926384829653552076744880276670173732031649948017687301217725024710219611494376658571318994202774961364457258955571200000000*x^14*z^8)/208612471486169615532150899065582927134218296810733377314370392068797905951658779409965950225705402196437483083462143691864145480555769499041500183025302218497615830611580750270877111571118679135892485409 + (1678806124000817802769738075971996363111702153293037180275547087007242041381697527772577382116403897052892204662958503225054401051223289853301931379142130977791902161590289920267346065026015188721129192600130141184965474588292871266238464000000000*x^16*z^6)/23171828559292515658661323831394183467840514254666551333770726282936933522514025711380167973287178915630323962732566909366851685560841200947335221757730441574432837722890320802342891356550180604286924755782857863774749118166787874561 + (1773449658963720004234539072900904135652868831298015363588735290311710488319083695745419254993966390027288313270821659993806708726357892123338601307096049605100175025631425758623061125012417862421651172482398398573494968023763177223883778651866882703059364132652318720000000000*x^18*z^4)/2573832882358816022112784063721903541849501928219128265635805149778283769384869825650838060375232938597449049334088365497829057193202634274457333714342012659632078517908753541982286004342628764829306876987212359380284521962183218316806979259039167801458533305569 + z^2*((1124057262329954197924869111982347480409188549877249687374234606940637737500600561850088326165452426853517666062649213321405277075063271949728301556794017055924227195006051453014677244717465234381270370518527137993043912448324074203022203287189938469508010494752425802652976304513729746391384719360000000000*x^20)/285890933870855215570338029321566535305342342584653269204662637685744039604832558707645644654198112852303278772235257312856224832929341144229835216243864638698596985439000141973714996748022725727239704277555377890047757311677604711564129356046403982577459197820213068956200248462659209707201 - (323843605291696989363992554750267691279290639622627389371042172843888543308792555027136613922299399192299324582906899058223693979817269562987221439905181615874427878842506178183147052387349146145983628285556392109699211973479508317788965369038655290145296090419774031283733463384368804051498124013833610021292332385749591654400000000000*x^22)/31755607222891672292162034599786572098065141341238348029133377688147202093249429007827278906342165920340324855171829803753836953818052325455079531058508977743020039071672237512170796484231974501725010836151065403159080651343456716475109848458412060267519745599557343536594131776504213358077298213438407361117907084244129) + (323843605291696989363992554750267691279290639622627389371042172843888543308792555027136613922299399192299324582906899058223693979817269562987221439905181615874427878842506178183147052387349146145983628285556392109699211973479508317788965369038655290145296090419774031283733463384368804051498124013833610021292332385749591654400000000000*x^22)/31755607222891672292162034599786572098065141341238348029133377688147202093249429007827278906342165920340324855171829803753836953818052325455079531058508977743020039071672237512170796484231974501725010836151065403159080651343456716475109848458412060267519745599557343536594131776504213358077298213438407361117907084244129, z, 1))/x
that you will then need to evaluate for each value of ‘x’.
I leave you to it.
