Which represents the solution(s) of the equation \( x^{2}=36 \) ? 4x A \( x=\sqrt{6} \) (x C C \( \quad x= \pm \sqrt{6} \) 4x D \( x= \pm 6 \)

To solve the equation \( x^{2} = 36 \), you take the square root of both sides, which gives two possible solutions: \( x = 6 \) and \( x = -6 \). So, the correct representation of the solutions is \( x = \pm 6 \), which corresponds to option D! Fun fact: The concept of a square root dates back to ancient Babylonians, who were calculating these long before algebra took off! They efficiently solved quadratic equations using geometric methods, turning the daunting task of finding roots into a fascinating adventure in mathematics. If you ever get stuck with squaring numbers, remember that visualizing them, or even using a number line, can make it much clearer! A common mistake is to think the square root of a number has only a positive solution; always remember the negative counterpart!