.MCAD 309000000 \  docDocument MmcObject[ d2_graph_format graphData% axisFormat)L)Ltrace2D&&&&&&&&& & & & & &&& dim_formatTmasslengthtimecharge temperature luminosity substanceNumericalFormatQdii shpRectVmcDocumentObjectState\ mcPageModelK???mcHeaderFooterI@I CHeaderFooterJ@J@J@JMbP?MbP? TextState? TextStyle>@ Times New RomanSerial_ParPropDefaultWNormalfont_style_listO font_styleP  VariablesTimes New Roman@P  ConstantsTimes New Roman@P TextTimes New Roman@P Greek VariablesSymbol@P User^1Arial@P User^2 Courier New@P User^3System@P User^4Script@P User^5Roman@P User^6Modern@P User^7Times New Roman@P SymbolsSymbol@P Current Selection FontArial@P Undefined Font@P HeaderArial@P FooterArial@P Rotated Math FontTimes New Roman BitmapRegion PictureRegionF docRegionGshpBoxUaEdocRegionAttributeH  SerialLocatorL1C:\PROGRA~1\MathSoft\MATHCA~1\qsheet\answetoc.mcdLinks to Solving Equations  mc_dibitmap W; (W;Hdb\}w|{x{TVUUWYVW_m{lƿvsOQPMPSWUTRTVXehrdy~llºûļƿzȤʦѳƮvvPNMOKTSSQPTRRVXW\\qmfpžĽüŝšƟǡЯӶֺʱֽy<GIMNOOPSSRĜ̨ͪέѰϮѲӴҳؽĬҹJIILHLLҳշƼ}B}zBF}EKWڿzx@zzxIIH}}}zzzyyysssjjj[[[ڸָ𺺺ƺƺƺƺƺƺƺƺԷ! ƺ 33 ]OL/]Fƺy6',WSOP[`G޸AS*Q,,-SO#Z7 źAZQQQ*-SQ***Q'#*\3GH\***--V--QQQQ*QSS%L6xuvJyaLQ)+--*S+VRQ*QVS$-\7ſrM'($)))++*QQQ-S,'*3`Fľo99:;gBple4.`AH "Kwtnkh<8;gkjCl=4W~_m!pBk>=;=kjj=:5^0W_ !¿Kwponl>h=h<;520/NmKKtplk>;dc521)+]mJKBl;d0)QUaE ¿KwDng21/|{frw@b0\1wBbƺź𺺺ſ𺺺ƺ溺ۺѺ̺  TextRegion*@U P CharacterMap-RangeMap;SOLVING EQUATIONS ChrPropMap7  RangeElem<  ChrPropData8 RangeData= | Times New Roman 0,128,128 ParPropMap9< ParPropData:@WEmbedMap1<LinkMap/<LinkData0@NormalTimes New Roman *@U%XU800-'Solving an Equation in a Single Unknown7'<'8|Times New Roman 128,0,1289'<':@W1</'<'0@NormalTimes New Roman  @UX_X $ (@@@@@@@ʦsimL?1" 3FZop]H3)B\vےޮ|bF) !!!,,,777BBBMMMXXXcccnnnyyy+U33+3U3333ff+fUffff+U+Ù̪+UUU+UUUUUUU3U3+U3UU3U3U3U3UfUf+UfUUfUfUfUfUU+UUUUUUUU+UUÙU̪UUUU+UUUUUU+U33+3U3333ff+fUffff+U+Ù̪+U+U33+3U3333ff+fUffff+U+Ù̪+U؆?#r!*@U>>-@This QuickSheet can be used to find a solution to the equation  for a function f(x) you specify, using the built-in root function.7y6<68~ Times New Roman0,0,0 < !8l Times New Roman0,0,0"<#8? $<+%8l Times New Roman0,0,0"&< '8~ Times New Roman0,0,0$(<)8| Times New Roman0,0,0&*< +8~ Times New Roman0,0,0(*9,<-:@W1.</ EmbedData2?;EmbedObj30 EmbedObjPtr41eqRegionB@UC,2tree@ p3@@,24@@@35@@d4f6@@p47@@6x8@@30/9<:0@NormalTimes New Roman ;*@U_@zz-Enter a function f(x):7<<=8;~ Times New Roman0,0,09><?:@W1@@</@A<@B0@NormalTimes New Roman @C@B@U0U@D@@ p@E@@ @D@F@@@@E@G@@d@Ff@H@@p@F@I@@@Hx@J@@@E@K@@@@J@L@@d@Kx@M@@@K3@N@@@J@O@@d@Ne@P@@@Nx@Q*@U!b40mZZ-;Enter a guess value for the solution (modify as necessary):7;@R<;@S8@Q~ Times New Roman0,0,09;@T<;@U:@W1@V</;@W<;@X0@NormalTimes New Roman @Y@B@U0@[WBP@Z@@ p@[@@ @Z@\@@d@[x@]@@@[3@^@B@U0`wSp@_@@ p@`@@ @_@a@@d@`soln@b@@@`@c@@d@broot@d@@p@b@e@@ @d@f@@@@e@g@@d@ff@h@@p@f@i@@@hx@j@@@ex@k*@Uqxii-;Note: For a complex solution, input a complex guess value.7;@l<@m8@kl Times New Roman 0,128,128@n<@o8@kl Times New Roman0,0,0@l@p<@q8@k| Times New Roman0,0,0@n@r<4@s8@k~ Times New Roman0,0,0@p@r@l9;@t<;@u:@W1@v</;@w<;@x0@NormalTimes New Roman @y*@U<s44- Solution:7 @z< @{8@y~ Times New Roman0,0,09 @|< @}:@W1@~</ @< @0@NormalTimes New Roman @@B@U0R@@@ p@@@@@@@d@soln@@@@@@@+@@Serial_DisplayNodeX@@@@ _n_u_l_l_@@B@U"@@@ p@@@@@@@@@@@@@@@@@@@@@@v@15.389@@@K@@@@@7.865@@@@@@@t@0@@@@ _n_u_l_l_@@@@@@@d@f@@@p@@@@@z@@@@@@@@@@@@@@@@@t@2@@@K@@@@@2@@@@@@@d@soln@@@@ _n_u_l_l_@@@@z@  )T)\Real Solution of f(x) &&&&&&&&&& & & & & &&&@*@U&&-@dNote: In the case of an imaginary solution, only the real part of the solution is shown on the plot.7d@<@8@l Times New Roman 0,128,128@<@8@l Times New Roman0,0,0@@<@8@| Times New Roman0,0,0@@<^@8@~ Times New Roman0,0,0@@@9d@