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Added note for step 3

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Kenneth John Odle 2023-07-17 10:29:42 -04:00
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complete-the-square.tex
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@ -144,6 +144,8 @@ Here is the general procedure:
\item If the value for $a$ is \textit{not} 1, divide both sides of the equation by $a$. (We want the $x^2$ term to be by itself.) \item If the value for $a$ is \textit{not} 1, divide both sides of the equation by $a$. (We want the $x^2$ term to be by itself.)
\item Move the constant term to the right side of the equation. \item Move the constant term to the right side of the equation.
\item Divide $b$ by 2, square it, and add it to both sides of equation. \item Divide $b$ by 2, square it, and add it to both sides of equation.
(\textbf{Note:} If dividing by 2 results in a fraction, leave it as a square. That is, leave it as $(\frac{5}{2})^2$ rather than doing the math and arriving at $\frac{25}{4}$. This will make step four easier.)
\item Write the left side as a perfect square. \item Write the left side as a perfect square.
\item Take the square root of both sides. \item Take the square root of both sides.
\item Solve for $x$. \item Solve for $x$.