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-\documentclass{article}
-\usepackage{amsmath}
-\usepackage[pdftex,designi]{web}
-\usepackage[pdftex]{exerquiz}
-\usepackage[pdftex]{eforms}
-\usepackage[ImplMulti]{dljslib}
-
-\everymath{\displaystyle}
-\parindent 0pt
-\definecolor{pozadi}{rgb}{1,1,0.9}
-\pagecolor{pozadi}
-
-\usepackage[picture,finetune]{jeopardy}
-\def\JeopardyPictureFile{aleq.jpg}
-\def\ChampionMsg{Niels Abel and Evariste Galois}
-
-\def\logoB{\rotatebox{90}{%
- \vbox{\normalsize\hbox{\color{red}{Robert Ma\v{r}\'{i}k}}
- \hbox{\color{green}Jeopardy game}}}
- \vfill}
-
-\let\rmdefault\sfdefault
-\hypersetup{pdfpagemode=Window, pdfnewwindow=true, pdfmenubar=true,%
- pdftoolbar=true,colorlinks, pdfwindowui=false,
- pdfpagemode=Window}
-\pagestyle{empty}
-
-\begin{insDLJS}[dljslibRMbbbb]{dljsliRMbbbb}{RMbbbb}
-
-
-function ProcRespSetFormulaEmpty(flag,CorrAns,n,epsilon,a,indepVar,oComp)
-{
- ok2Continue = true;
- if (!ProcessIt) return null;
- var fieldname = event.target.name;
- var UserAns = event.value;
- this.getField(fieldname).strokeColor = \eqDefaultColor;
- UserAns = stripWhiteSpace(UserAns);
- if (!ok2Continue) return null;
- if (UserAns == "empty") {
- success = (CorrAns == UserAns);
- return notifyField(success, flag, fieldname);
- }
- if (CorrAns == "empty") {
- success = (CorrAns == UserAns);
- return notifyField(success, flag, fieldname);
- }
- var aUserAns = UserAns.split(",");
- var aCorrAns = CorrAns.split(",");
- var numCorrect = 0;
- var match = 0;
- if ( aUserAns.length != aCorrAns.length ) return notifyField(false, flag, fieldname);
- for ( var i=0; i< aCorrAns.length; i++) {
- match = 0;
- for ( var j=i; j< aUserAns.length; j++) {
- var retn = _ProcResp(flag,aCorrAns[i],aUserAns[j],n,epsilon,a,indepVar,oComp);
- if ( retn == null ) return syntaxError(), null;
- if (retn==1) {
- var temp=aUserAns[j];
- aUserAns[j]=aUserAns[i];
- aUserAns[i]=temp;
- match = match + 1;
- }
- }
- numCorrect += (match) ? 1 : 0;
- }
- var success = (numCorrect == aCorrAns.length) ? true : false;
- if ( success == null ) return syntaxError(), null;
- return notifyField(success, flag, fieldname);
-}
-
-\end{insDLJS}
-
-
-\def\quest#1#2{
- \begin{question}
- Solve the equation in the set of \textit{real} numbers.
- \begin{equation*}
- #1=0
- \end{equation*}
- \bigskip
- \begin{itemize}
- \item Write the solution into the field.
- \item If there is no solution, write the word \textit{empty}.
- \end{itemize}
- \bigskip
- $x={}$\RespBoxMath{#2}{10}{1.0E-2}{0}{1}*{ProcRespSetFormulaEmpty}
- \end{question}
-}
-
-\title{Algebraic equations}
-
-%\def\title{Algebraic equations}
-
-\author{Robert Ma\v r\'\i k}
-
-\begin{document}
-
-\maketitle
-You will solve algebraic equations. Write the solutions as comma
-separated list, In the case of repeted solution write each solution
-only \textbf{once}!
-
-\SetGameWidth{0.5\linewidth}
-\Celltoks{\BC{}\BG{1 1 1}}
-\AditionalShift=4.6pt
-
-\newpage
-\MakeGameBoard
-\begin{category}{Linear}
- \quest{x+1}{-1}
- \quest{2x-3}{3/2}
- \quest{5x+15}{-3}
- \quest{7x+13}{-13/7}
- \quest{3x+1}{-1/3}
- \quest{2x+7}{-7/2}
- \quest{5x-6}{6/5}
- \quest{7x-13}{13/7}
-\end{category}
-\begin{category}{Quadratic1}
- \quest{x^2+x}{-1,0}
- \quest{x^2-9}{3,-3}
- \quest{x^2-7}{sqrt(7),-sqrt(7)}
- \quest{x^2+4x}{-4,0}
- \quest{x^2-x}{1,0}
- \quest{x^2+9}{empty}
- \quest{x^2}{0}
- \quest{x^2-4x}{4,0}
-\end{category}
-\begin{category}{Quadratic2}
- \quest{x^2+x+1}{empty}
- \quest{x^2-6x+9}{3}
- \quest{x^2-7x+6}{1,6}
- \quest{x^2+4x+4}{-2}
- \quest{x^2-3x+2}{1,2}
- \quest{x^2+2x+9}{empty}
- \quest{x^2-5x+6}{2,3}
- \quest{x^2+4x-21}{-7,3}
-\end{category}
-\begin{category}{Higher order}
- \quest{x^8-2}{2^(1/8),-2^(1/8)}
- \quest{x^3-2x}{0,sqrt(2),-sqrt(2)}
- \quest{x^4-1}{-1,1}
- \quest{x^3-8}{2}
- \quest{x^5-x^3}{1,-1,0}
- \quest{x^6-x^5}{1,0}
- \quest{x^3+2x^2+x}{0,-1}
- \quest{x^3+4x^2+5x}{0}
-\end{category}
-
-\newpage
-
-\newpage
-\textbf{\'Evariste Galois} (1811--1832) was a French mathematician
-born in Bourg-la-Reine. He died in a duel at the age of twenty.
-
-\medskip
-\textbf{Niels Henrik Abel} (1802--1829), Norwegian mathematician, was
-born in Nedstrand. In early April 1829 he obtained a position
-in Berlin, but the letter bringing the offer did not reach Norway
-until two days after Abel's death from tuberculosis.
-
-\medskip
-Both mathematicians proved the impossibility of solving the $5$-degree
-polynomial equation by radicals.
-
-\newpage
-
-\end{document}