ETHOD 2: SQUA \( x^{2}=225 \)

Did you know that squaring numbers is not just a quick shortcut but also a foundational concept in algebra? The equation \( x^2 = 225 \) indicates that we are searching for a number that, when multiplied by itself, gives us 225. If you think about it, this connecting thread of squares is vital in various fields, from architecture to computer graphics! Now, let's clarify how to solve this equation! To find \( x \), simply take the square root of both sides. Remember, taking the square root introduces both positive and negative solutions. So, \( x = 15 \) and \( x = -15 \) are our final answers! Keep in mind that overlooking the negative solution is a common mistake in these types of problems!