The mathematical formula for solving equations is universal. If the relationship between two variables X and Y can be expressed as Y = K/X (where K is a constant and k≠0), then Y is said to be an inverse proportional function of X ... Because y=k/x is a fraction, the value range of the independent variable X is X≠0. And y=k/x is sometimes written as xy=ky=kx-? .

When k>0, the image is located in the first and third quadrants respectively. In the same quadrant, Y decreases with the increase of X; When k < 0, the image is located in the second and fourth quadrants respectively, and in the same quadrant, y increases with the increase of x. K>0, function in x

Extended data:

Suppose that the solution X of the equation can be written in the form of x=a-b, where A and B are undetermined parameters.

Substitute it into the equation and we have it.

a3-3a2b+3ab2-b3=p(a-b)+q

Complete sorting

a3-b3 =(a-b)(p+3ab)+q

According to the theory of quadratic equation, A and B can be properly selected, so that when x=a-b,

3ab+p=0. So the above formula becomes

a3-b3=q

Multiply both sides by 27a3, and you get

27a6-27a3b3=27qa3

P=-3ab indicates that

27a6 + p3 = 27qa3

This is a quadratic equation about a3, so A can be solved. Then b and root x can be solved.

Baidu encyclopedia-solving equations