deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 2f1c5c9..de9aecf 100644  --- a/untitled.tex  +++ b/untitled.tex 
...
&\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}=0 \text{ (By completing the square)}\\  &\iff (f+\frac{1}{2}d)^{2}+(g-\frac{1}{2}e)^2=\frac{1}{4}d^{2}+\frac{1}{4}e^{2}  &\iff(f+\frac{1}{2}d)^{2}+(g-\frac{1}{2}e)^2=\frac{1}{4}(d^{2}+e^{2})  \end{align}  \end{proof}