Linear equation

For all $a \in \mathbb{R}^*$, $b \in \mathbb{R}$, $x \in \mathbb{R}$, $$ax + b = 0 \iff x = -\frac{b}{a}$$

Skip

Next

# Use LaTeX in your cards

When creating a card, wrap your LaTeX formulas between $ (inline) or $$ (block) to render them. For example, the following code will render this card: For all a \in \mathbb{R}^*, b \in \mathbb{R}, x \in \mathbb{R},$$ax + b = 0 \iff x = -\frac{b}{a}$$ ## List of LaTeX symbols ### Greek \alpha$\alpha$\beta$\beta$\gamma$\gamma$\delta$\delta$\epsilon$\epsilon$\varepsilon$\varepsilon$\zeta$\zeta$\eta$\eta$\theta$\theta$\vartheta$\vartheta$\iota$\iota$\kappa$\kappa$\lambda$\lambda$\mu$\mu$\nu$\nu$\xi$\xi$o$o$\pi$\pi$\varpi$\varpi$\rho$\rho$\varrho$\varrho$\sigma$\sigma$\varsigma$\varsigma$\tau$\tau$\upsilon$\upsilon$\phi$\phi$\varphi$\varphi$\chi$\chi$\psi$\psi$\omega$\omega$\Gamma$\Gamma$\Delta$\Delta$\Theta$\Theta$\Lambda$\Lambda$\Xi$\Xi$\Pi$\Pi$\Sigma$\Sigma$\Upsilon$\Upsilon$\Phi$\Phi$\Psi$\Psi$\Omega$\Omega$### Delimiters ($($)$)$[$[$]$]$\{$\{$\}$\}$\langle$\langle$\rangle$\rangle$\vert$\vert$\Vert$\Vert$\lfloor$\lfloor$\rfloor$\rfloor$\lceil$\lceil$\rceil$\rceil$\backslash$\backslash$/$/$### Big delimiters \lgroup$\lgroup$\rgroup$\rgroup$\lmoustache$\lmoustache$\rmoustache$\rmoustache$\arrowvert$\arrowvert$\Arrowvert$\Arrowvert$\bracevert$\bracevert$### Binary relations \lt$\lt$\gt$\gt$\le$\le$\ge$\ge$\ll$\ll$\gg$\gg$\prec$\prec$\succ$\succ$\preceq$\preceq$\succeq$\succeq$=$=$\equiv$\equiv$\sim$\sim$\simeq$\simeq$\approx$\approx$\cong$\cong$\subset$\subset$\subseteq$\subseteq$\supset$\supset$\supseteq$\supseteq$\sqsubset$\sqsubset$\sqsupset$\sqsupset$\sqsubseteq$\sqsubseteq$\sqsupseteq$\sqsupseteq$\in$\in$\owns$\owns$\propto$\propto$\Join$\Join$\bowtie$\bowtie$\vdash$\vdash$\dashv$\dashv$\models$\models$\mid$\mid$\parallel$\parallel$\perp$\perp$\smile$\smile$\frown$\frown$\asymp$\asymp$:$:$\notin$\notin$\ne$\ne$### Binary operators +$+$-$-$\pm$\pm$\mp$\mp$\triangleleft$\triangleleft$\triangleright$\triangleright$\cdot$\cdot$\div$\div$\times$\times$\setminus$\setminus$\star$\star$\cup$\cup$\cap$\cap$\ast$\ast$\sqcup$\sqcup$\sqcap$\sqcap$\circ$\circ$\vee$\vee$\wedge$\wedge$\bullet$\bullet$\oplus$\oplus$\ominus$\ominus$\diamond$\diamond$\odot$\odot$\oslash$\oslash$\otimes$\otimes$\uplus$\uplus$\bigcirc$\bigcirc$\amalg$\amalg$\bigtriangleup$\bigtriangleup$\bigtriangledown$\bigtriangledown$\dagger$\dagger$\lhd$\lhd$\rhd$\rhd$\ddagger$\ddagger$\unlhd$\unlhd$\unrhd$\unrhd$\wr$\wr$### n-ary operators \sum$\sum$\prod$\prod$\coprod$\coprod$\bigcup$\bigcup$\bigcap$\bigcap$\bigsqcup$\bigsqcup$\biguplus$\biguplus$\bigvee$\bigvee$\bigwedge$\bigwedge$\int$\int$\iint$\iint$\iiint$\iiint$\oint$\oint$\bigodot$\bigodot$\bigoplus$\bigoplus$\bigotimes$\bigotimes$### Arrows \gets$\gets$\longleftarrow$\longleftarrow$\to$\to$\longrightarrow$\longrightarrow$\leftrightarrow$\leftrightarrow$\longleftrightarrow$\longleftrightarrow$\Leftarrow$\Leftarrow$\Longleftarrow$\Longleftarrow$\Rightarrow$\Rightarrow$\Longrightarrow$\Longrightarrow$\Leftrightarrow$\Leftrightarrow$\Longleftrightarrow$\Longleftrightarrow$\mapsto$\mapsto$\longmapsto$\longmapsto$\hookleftarrow$\hookleftarrow$\hookrightarrow$\hookrightarrow$\leftharpoonup$\leftharpoonup$\rightharpoonup$\rightharpoonup$\leftharpoondown$\leftharpoondown$\rightharpoondown$\rightharpoondown$\rightleftharpoons$\rightleftharpoons$\iff$\iff$\uparrow$\uparrow$\downarrow$\downarrow$\updownarrow$\updownarrow$\Uparrow$\Uparrow$\Downarrow$\Downarrow$\Updownarrow$\Updownarrow$\nearrow$\nearrow$\searrow$\searrow$\swarrow$\swarrow$\nwarrow$\nwarrow$\leadsto$\leadsto$### Arrows on symbols \hat{a}$\hat{a}$\check{a}$\check{a}$\tilde{a}$\tilde{a}$\grave{a}$\grave{a}$\dot{a}$\dot{a}$\ddot{a}$\ddot{a}$\bar{a}$\bar{a}$\vec{a}$\vec{a}$\acute{a}$\acute{a}$\breve{a}$\breve{a}$\mathring{a}$\mathring{a}$\widehat{ABC}$\widehat{ABC}$\widetilde{ABC}$\widetilde{ABC}$\overrightarrow{AB}$\overrightarrow{AB}$\overleftarrow{AB}$\overleftarrow{AB}$\overleftrightarrow{AB}$\overleftrightarrow{AB}$\underrightarrow{AB}$\underrightarrow{AB}$\underleftarrow{AB}$\underleftarrow{AB}$\underleftrightarrow{AB}$\underleftrightarrow{AB}$### Others \dots$\dots$\cdots$\cdots$\vdots$\vdots$\ddots$\ddots$\hbar$\hbar$\imath$\imath$\jmath$\jmath$\ell$\ell$\Re$\Re$\Im$\Im$\aleph$\aleph$\wp$\wp$\forall$\forall$\exists$\exists$\mho$\mho$\partial$\partial$\prime$\prime$\emptyset$\emptyset$\infty$\infty$\nabla$\nabla$\triangle$\triangle$\Box$\Box$\Diamond$\Diamond$\bot$\bot$\top$\top$\angle$\angle$\surd$\surd$\diamondsuit$\diamondsuit$\heartsuit$\heartsuit$\clubsuit$\clubsuit$\spadesuit$\spadesuit$\lnot$\lnot$\flat$\flat$\natural$\natural$\sharp$\sharp$### Fonts \mathbb{RQSZ}$\mathbb{RQSZ}$\mathcal{RQSZ}$\mathcal{RQSZ}$\mathfrak{RQSZ}$\mathfrak{RQSZ}$\mathrm{3x^2 \in R}$\mathrm{3x^2 \in R}$\mathit{3x^2 \in R}$\mathit{3x^2 \in R}$\mathbf{3x^2 \in R}$\mathbf{3x^2 \in R}$\mathsf{3x^2 \in R}$\mathsf{3x^2 \in R}$\mathtt{3x^2 \in R}$\mathtt{3x^2 \in R}$### Formatting \frac{a}{b}$\frac{a}{b}$a^{b}$a^{b}$a_{b}$a_{b}$\binom{a}{b}$\binom{a}{b}$### Matrixes \begin{matrix}1 & 2 & 3\\a & b & c\end{matrix}$\begin{matrix}
1 & 2 & 3\\
a & b & c
\end{matrix}$\begin{pmatrix}1 & 2 & 3\\a & b & c\end{pmatrix}$\begin{pmatrix}
1 & 2 & 3\\
a & b & c
\end{pmatrix}$\begin{bmatrix}1 & 2 & 3\\a & b & c\end{bmatrix}$\begin{bmatrix}
1 & 2 & 3\\
a & b & c
\end{bmatrix}$\begin{Bmatrix}1 & 2 & 3\\a & b & c\end{Bmatrix}$\begin{Bmatrix}
1 & 2 & 3\\
a & b & c
\end{Bmatrix}$\begin{vmatrix}1 & 2 & 3\\a & b & c\end{vmatrix}$\begin{vmatrix}
1 & 2 & 3\\
a & b & c
\end{vmatrix}$\begin{Vmatrix}1 & 2 & 3\\a & b & c\end{Vmatrix}$\begin{Vmatrix}
1 & 2 & 3\\
a & b & c
\end{Vmatrix}\$

Example card

Skip

Next

## Try LaTeX in the browser

Enter some code to see how it will look in a card: