Omar tried to solve the following equation.
$\qquad\begin{align}
x^2&=100\\\\
\\
\sqrt{x^2}&=\pm\sqrt{100}&\green{\text{Step } 1}\\\\
\\
x &=\pm \:10&\blue{\text{Step } 2}\\\\
\\
x&=10 ~\text{ or }~ x = -10&\purple{\text{Step } 3} \\\\
\end{align}$
**Find Omar's mistake.**
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