\( x = 3 \pm \sqrt { 16 } \)

The equation \( x = 3 \pm \sqrt{16} \) simplifies beautifully! Since \( \sqrt{16} \) is 4, you can rewrite this as \( x = 3 + 4 \) or \( x = 3 - 4 \). This gives you two potential solutions: \( x = 7 \) and \( x = -1 \). It’s like unveiling a treasure chest with two sparkling gems inside! Beyond just solving for \( x \), think about how such equations pop up in various fields! For instance, engineers might use quadratic equations to design safe structures, while economists use them to predict trends. You never know when you might need to unearth the solutions to a puzzling real-world problem. Life’s all about equations and their hidden meanings!