Huang Rong's root-seeking method refers to Huang Rong's ability to solve equations in a strange way in Jin Yong's martial arts novel The Legend of the Condor Heroes. This question seems simple, but it is actually quite meaningful. Huang Rong, with his cleverness and unique way of thinking, has brought us great inspiration.

Huang Rong's method of finding the square root is not through algebraic operation or numerical calculation, but through geometric figures to solve the equation problem. Using the characteristics of right triangle, she transformed the equation into the relationship between the sides of the triangle, and then got the solution of the equation.

First, Huang Rong expressed the equation as the relationship between the sides of a right triangle. She will decompose the equation into two quadratic equations and construct the corresponding right triangle. Through observation and reasoning, she can find out the relationship between the side length of a triangle and the variables of the equation.

Secondly, Huang Rong will use some basic properties of right triangle to deduce. For example, she will use Pythagorean theorem, sine theorem, cosine theorem and other geometric theorems to transform the problem into the solution of geometric relations. By using geometric knowledge flexibly, she can simplify complex equation problems into the process of solving geometric figures.

At the same time, Huang Rong is also good at using the symmetry and similarity of graphics to solve problems. She can find the symmetry axis or similar triangles in geometry, and use their relationship to solve the equation quickly. The application of this geometric thinking mode not only improves the efficiency of understanding equations, but also makes the process of solving problems more intuitive and easy to understand.

Finally, Huang Rong asked cholesky decomposition to pay attention to practical application. She always connects math problems with real life, thus increasing inspiration and solving ideas. She can make the solution of the equation more concrete and meaningful by turning the mathematical problem into the actual situation.

To sum up, Huang Rong's root-seeking method is a unique way of geometric thinking. Using geometric knowledge and reasoning ability, the equation problem is transformed into the solution process of geometric figures.

The combination of her intelligence, practical application and geometric thinking provides us with a brand-new way of thinking and method to solve problems. This way of thinking can not only broaden our mathematical horizons, but also help to cultivate our creativity and ability to solve practical problems.