Step 1 :The equation is a simple quadratic equation. To solve for x, we need to take the square root of both sides. However, we need to remember that the square root of a number can be both positive and negative. Therefore, there will be two solutions to this equation.
Step 2 :\(x_{1} = \sqrt{72} = 8.48528137423857\)
Step 3 :\(x_{2} = -\sqrt{72} = -8.48528137423857\)
Step 4 :Final Answer: The solutions to the equation \(x^{2}=72\) are \(x=\boxed{8.48528137423857}\) and \(x=\boxed{-8.48528137423857}\).