this is for holding javascript data
Terris Becker edited untitled.tex
about 8 years ago
Commit id: a7860e50f16dfaa470774693679ae5645b24e6ba
deletions | additions
diff --git a/untitled.tex b/untitled.tex
index ecd24ca..d61884b 100644
--- a/untitled.tex
+++ b/untitled.tex
...
\begin{align}
&\iff (f^{2}+g^{2})+(fd-eg)+b=0\\
&\iff f^{2}+fd+g^{2}-eg+b=0\\
&\iff (f+\frac{1}{2}d)^{2}-\frac{1}{4}d^{2}+(g-\frac{1}{2})^{2}-\frac{1}{4}e^{2}+b=0 \text{ (By completing the
square)}\\ square)}
&\iff (f+\frac{1}{2}d)^{2}+(g-\frac{1}{2}e)^2=\frac{1}{4}d^{2}+\frac{1}{4}e^{2}-b\\
&\iff(f+\frac{1}{2}d)^{2}+(g-\frac{1}{2}e)^2=\frac{1}{4}(d^{2}+e^{2})-b\\
\end{align}