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- \documentclass{article}
- \usepackage{amsmath}
- \usepackage{newpxtext}
- \usepackage{eulervm}
- \pagestyle{empty}
- \begin{document}
- \[
- \def\arraystretch{2.0}
- \begin{array}{r@{\ }c@{\ }l@{\qquad}r@{\ }c@{\ }l}
- 1^2 & = & x^2 + x^2 & \clap{$\text{Since } x > 0 \, \text{:}$} \\
- 1 & = & 2x^2 & \sqrt{\frac{1}{2}} & = & x \\
- \frac{1}{2} & = & x^2 & \frac{\sqrt{1}}{\sqrt{2}} & = & x \\
- \sqrt{\frac{1}{2}} & = & \sqrt{x^2} & \frac{1}{\sqrt{2}} & = & x \\
- \sqrt{\frac{1}{2}} & = & |x| & \frac{\sqrt{2} \, \cdot \, 1}{\sqrt{2} \cdot \sqrt{2}} & = & x \\
- \pm\sqrt{\frac{1}{2}} & = & x & \frac{\sqrt{2}}{2} & = & x \\
- \end{array}
- \]
- \end{document}
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