### Added labels to equation 6

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Kenneth John Odle 11 months ago
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4cd3b57761
1 changed files with 13 additions and 12 deletions
1. 25
complete-the-square.tex

#### 25 complete-the-square.tex View File

 @ -111,7 +111,7 @@ For equations that are not easily factored, a general solution called the qua   For any equation of the form $ax^2+bx+c=0$, the solution can be found by using:   \begin{equation} \begin{equation}\label{eq5} x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \end{equation}   @ -156,17 +156,18 @@ Conventionally, we would write this as $x=-2+\sqrt{3}$ or $x=-2-\sqrt{3}$.   \noindent{}Here is the entire sequence all together:   \begin{align}\label{eq5} \begin{split} x^2+4x+1 &= 0 \\ x^2+4x &= -1 \\ x^2+4x &= 3 \\ (x+2)^2 &= 3 \\ \sqrt{(x+2)^2} &= \pm\sqrt{3} \\ x+2 &= \pm\sqrt{3} \\ x &= -2\pm\sqrt{3} \end{split} \end{align} \begin{equation}\label{eq6} \begin{aligned} x^2+4x+1 &= 0 && && &&\text{Original equation}\\ x^2+4x &= -1 && && &&\text{Step 2}\\ x^2+4x &= 3 && && &&\text{Step 3}\\ (x+2)^2 &= 3 && && && \text{Step 4}\\ \sqrt{(x+2)^2} &= \pm\sqrt{3} && && && \text{Step 5}\\ x+2 &= \pm\sqrt{3} && && && \text{Step 5}\\ x &= -2\pm\sqrt{3} && && &&\text{Step 6} %\end{split} \end{aligned} \end{equation}   \pagestyle{lastpage}% Remove the header from the last page; comment this out if the document ends on an odd-numbered page