You're right. The inverse method is commonly used. I called it separation parameter in high school.

1: parameter separation, that is, inverse solution, is the preferred method. But when you can't use it, you can't separate it, and your C can't even separate it. How do you solve the following problems? If this formula is a quadratic equation, it can be solved by real root method. This is the first place where the inverse solution cannot be used.

2. The second place is that after separating C, your H(X) is difficult to solve. The requirement of h(x) for the maximum value and minimum value is what you call unequal positional relationship. At this time, it is difficult to find the natural inverse solution of h(x), and it is impossible.

This is his shortcoming. When the topic is difficult, these two hurdles are the difficulties. What method to choose is the first consideration!

In fact, the real root footwork is not used much, and it is very limited, that is, f(x) has to be a quadratic equation. Otherwise, how to draw pictures and distribute real roots? I don't advocate this method, because sometimes, one place is very troublesome, but I can't think of an example. You will definitely encounter the problem of not getting the equal sign, and there are several points you need to think about.

When I was in high school, it was three methods. 1 Distribution of two separated roots and three not separated roots

1 is what you call the inverse solution. What I don't know is the real root distribution. Do you mean 2 or 3? I said three above. ..

You can ask me any questions.