$x^{2}$=54
You asked:
Solve the equation \({x}^{2} = 54\) for the variable \(x\).
MathBot Answer:
\[\begin{aligned}x &= 3 \sqrt{6} \approx 7.3484692\\x &= - 3 \sqrt{6} \approx -7.3484692\end{aligned}\]
Take the square root of both sides of the equation $$\begin{aligned}x^{2} &= 54 \\ \sqrt{x^{2}} &= \sqrt{54} \end{aligned}$$
Remember that both positive and negative numbers will result in a positive number when squared, so a square root will have both a positive and a negative answer. $$\begin{aligned}x &= \pm 3 \sqrt{6} \\ x = 3 \sqrt{6} &,\, x=-3 \sqrt{6}\end{aligned}$$