x^2 = 3
You asked:
Solve the equation \({x}^{2} = 3\) for the variable \(x\).
MathBot Answer:
\[\begin{aligned}x &= \sqrt{3} \approx 1.7320508\\x &= - \sqrt{3} \approx -1.7320508\end{aligned}\]
Take the square root of both sides of the equation $$\begin{aligned}x^{2} &= 3 \\ \sqrt{x^{2}} &= \sqrt{3} \end{aligned}$$
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. $$\begin{aligned}x &= \pm \sqrt{3} \\ x = \sqrt{3} &,\, x=-\sqrt{3}\end{aligned}$$