${x}^{2}-50=0$
Move the constant to the right-hand side and change its sign${x}^{2}=50$
Take the square root of both sides of the equation and remember to use both positive and negative roots$x=5\sqrt{ 2 }$
Write the solutions, one with a $+$ sign and one with a $-$ sign$\begin{array} { l }x=-5\sqrt{ 2 },\\x=5\sqrt{ 2 }\end{array}$
The equation has $2$ solutions$\begin{align*}&\begin{array} { l }x_1=-5\sqrt{ 2 },& x_2=5\sqrt{ 2 }\end{array} \\&\begin{array} { l }x_1\approx-7.07107,& x_2\approx7.07107\end{array}\end{align*}$