Newton's Method is a powerful technique used to find approximate solutions to equations, particularly when it's difficult to solve them exactly. It starts with an initial guess for the root of the equation and uses the function's derivative to improve that guess. By drawing a tangent line at the guessed point, the method finds where this line crosses the x-axis, which gives a better approximation of the root. This process is repeated, refining the guess each time until the solution is accurate enough. Isaac Newton, the mathematician after whom the method is named, developed this approach in the 17th century, and it remains widely used in mathematics and engineering today.