Solution of univariate cubic equation I want to ask about the root formula ~ don't copy it from the encyclopedia ~ I can't understand ~ I've read it! I wonder if the cubic equation can only be solved in some special form? What is that root expressed by those corresponding coefficients?

Two methods (I only have high school level)
1: Factorization is written as K * (x-a) (X-B) (x-C) = 0, and then the roots are a, B, C
2: Guess the root, because some can see that there is obviously a root, for example, x ^ 3 + x ^ 2 + x-3 = 0, and one is 1
Then you can use polynomial division, (x ^ 3 + x ^ 2 + x-3) divided by (x-1) = x ^ 2 + 2x + 3
And then it will?
Division is like divisor. Try it yourself. You don't know how to ask me

High school univariate cubic equation I am a high school student. There are often univariate cubic equations in mathematics, which are special and can be divided by reason,

a*3-b*3=(a-b)(a*2+b*2+ab)
A * 3 + b * 3 = (a + b) (a * 2 + b * 2-AB) the rest can be solved in a similar way

How to solve simple cubic equation in high school mathematics Don't use Sheng Jin's formula so profound. Please explain in detail how to solve the cubic equation by simple methods such as decomposing the factor and extracting the common factor. Do you know a with x = A and divide the equation by this formula?

Usually factorization is enough

Is there any good way to solve the univariate cubic equation? Like formula?

You can use (x + a) (x + b) (x + C) = 0
Expand and the corresponding term coefficients are equal

A simple algorithm for solving univariate cubic equation, such as a3-2a2-a + 7 = 5

There is no particularly good method for higher order equations
First of all, you have to use the enumeration method to try out the follow-up of an equation. Generally, the value will be between plus and minus 3. Let it be a, then x-a is a factor of the equation. Use the vertical division method (that is, the one that divides 4 digits by 2 digits in primary school) to get all his factors, and you can calculate it
For example, in this formula, you can try to find that 1 is its, a heel. So divide a3-2a2-a + 2 = 0 by A-1 to get (A-1) (a ^ 2-a-2) = 0, and the other two roots are the heels of the following binary linear equations

For example, 2x ^ 2-3x ^ 2-3x + 2 = 0, how to find the root? How to factorize? Is there a universal law method? The wrong number is 2x ^ 3-3x ^ 2-3x + 2 = 0

In high school, it is not required to master the root formula of cubic equation (Cardin formula). Generally, one root is obtained by trial root method, and then the other two roots are obtained by decomposition. The trial root method is mainly based on the following rules: if the equation has rational root M / n, M is the factor of constant term, n is the factor of the coefficient of the highest term. And 1, - 1 is the commonly used factor

Solution of univariate cubic equation I want to ask about the root formula ~ don't copy it from the encyclopedia ~ I can't understand ~ I've read it! I wonder if the cubic equation can only be solved in some special form? What is that root expressed by those corresponding coefficients?