堆栈社区!
无日志错误前我插入了\fbox
围绕多步方程的解,没有错误。
应用\box
如下:
&\fbox{\boldsymbol{x = \-3\pm 3i\sqrt{3} \qquad x=6} } \\
导致这个错误:
请告诉我为什么会出现这个错误。
谢谢!下面是 mwe
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{framed} %box para
\usepackage{multicol}
\usepackage{tasks}
\usepackage{xcolor}
\usepackage[margin=0.5in]{geometry}
\usepackage{tikz}
\usetikzlibrary{shapes.callouts}
\newcommand*{\callout}[2]{\hspace{-5em}
\tikz[baseline=(X)] \node[shape = rectangle callout,
fill=white,
draw= black,
minimum width=4.5em,
rounded corners,
callout relative pointer={(+0.55,-0.45)},
font = {\sffamily},
] (X) {${\scriptsize\begin{matrix}\textrm{1st root/} \\ \textrm{solution}\end{matrix}}$};%
\tikz[baseline=(X.base)] \node[rectangle, fill=yellow, inner sep=1mm] (Y) at ([yshift = -2.2em]X) {$#1$};%
\tikz[baseline=(X.base)] \node[] at (Y.east) {$#2$};%
}
%\usepackage{bm}%bold equation
\setlength{\parindent}{0pt} % removes paragraph indentation
\pagestyle{head}
\header{Algebra II: Assignment: 10-C Solving Polynomial Equations}
{}
{Due 03/12/2023}
\newcommand{\pagetop}{%
%\makebox[\textwidth]%{Name:\enspace\hrulefill}\par
\vspace{4mm}
\fbox{\fbox{\parbox{\dimexpr\textwidth-4\fboxsep-4\fboxrule}{
\textbf {Solve each polynomial equation by factoring. Find all real and/or imaginary/complex roots. Simplify answers.}
%\par
%\bigskip
}}}\par
\vspace{0.5mm}
}
\setlength{\jot}{1em}
%define highlighting
\newcommand{\hll}[1]{\colorbox{yellow}{$\displaystyle #1$}}
\begin{document}
\pagetop
\settasks{
after-item-skip=3em, after-skip=2cm,
label-width=2em,
item-indent=3em,
label=(\arabic*),
column-sep=2em
}
\begin{tasks}(2)
% Problem 1:
\task \(
\begin{aligned}[t]
& x^3-216 = 0 \\
& \hspace{2em}
\begin{aligned}[t]
& \sqrt[3]{x^3} = 3 \qquad \sqrt[3]{216} = 6 \\
& \hll{(x-6)}(x^2+6x+6^2) \\[-2.2em]
% Do not space here: ^
& \callout{(x-6)}{(x^2+6x+36)} \\
& a = 1; b = 6; c = 36 \\
& x = \frac{-(b)\pm\sqrt{(b^2)-4(a)(c)}}{2(a)} \\
& x = \frac{-(6)\pm\sqrt{(6^2)-4(1)(36)}}{2(1)} \\
& x = \frac{-6\pm\sqrt{-108}}{2} \\
& x = \frac{-6\pm\sqrt{-36}\sqrt{3}}{2} \\
& x = \frac{-6\pm 6i\sqrt{3}}{2} \\
& x = \frac{2(-3\pm 3i\sqrt{3})}{2} \\
&\fbox{\boldsymbol{x = \-3\pm 3i\sqrt{3} \qquad x=6} } \\
\end{aligned}
\end{aligned}
\)
% Problem #2
\task
\(\begin{aligned}[t]
& 8x^3 +125 \\
& \hspace{2em}
\begin{aligned}[t]
& \sqrt[3]{8x^3} = 2x \qquad \sqrt[3]{125} = 5 \\
& \hll{(2x+5)}(4x^2-10x+5^2) \\[-2.2em]
& \callout{(2x+5)}{(4x^2-10x+25)} \\
& a = 4; b = -10; c = 25 \\
& x = \frac{-(b)\pm\sqrt{(b^2)-4(a)(c)}}{2(a)} \\
& x = \frac{-(-10)\pm\sqrt{(-10^2)-4(4)(25)}}{2(4)} \\
& x = \frac{10\pm\sqrt{-300}}{8} \\
& x = \frac{10\pm 10i\sqrt{3}}{8} \\
& x = \frac{2(5\pm 5i\sqrt{3})}{8} \\
& x = \frac{5\pm 5i\sqrt{3})}{4} \qquad x=-\frac{-5}{2} \\
\end{aligned}
\end{aligned}
\)
% Problem 3
\end{tasks}
\end{document}```