I. Formula

For linear equations, the coefficient formula is a = -b/x, where a and b are constants and x is unknown. This formula can be used to solve the coefficient a of linear equation.

For quadratic equation, its coefficient calculation formula is relatively complicated. The general form of quadratic equation is ax? +bx+c=0, where a, b and c are constants and x is unknown. The coefficient calculation formula of quadratic equation includes:

The calculation formula of 1 and a: a = 1.

2. the calculation formula of b: b =-(p+q), where p and q respectively represent the two roots of x in the quadratic equation, namely: p = (-b+√(b? -4ac)) / 2a，q = (-b - √(b？ -4ac)) / 2a

3. the calculation formula of c: c = pq.

Second, the concept

For example, the coefficient of abc is 1 and the degree is 3.

Literal meaning of coefficient: related figures. For example, the algebraic expression "3x" represents the product of a constant 3 and an unknown X, that is, 3xx, which is equal to x+x+x, and "3x" represents a numerical value, which is only related to X. What is the relationship? "3" means relationship-it is the sum of the three. So "coefficient" can be interpreted as how many unknowns there are (together).

In an item, the index and number of unknown items are called this item.

Items that do not contain unknowns are called constant items. For example: 1, 2, 3, 100 and so on. The degree of a constant is 0.

The importance of learning mathematics well

1, improve logical thinking ability

Mathematics is a subject with strict logic. Learning mathematics can help us cultivate our logical thinking ability and improve our ability to analyze and solve problems.

2. Enhance computing power

Mathematics is a kind of calculation training. By studying mathematics, we can improve our computing ability and better meet the computing needs in daily life and work.

3. Cultivate abstract thinking and innovative thinking.

There are many abstract concepts and ways of thinking in mathematics. Learning mathematics can help us cultivate abstract thinking and innovative thinking, and make us more capable of discovery and creation.

4. Improve mathematics literacy and mathematics application ability.

Mathematics is a subject widely used in various fields. Learning mathematics can improve our mathematical literacy and mathematical application ability, so as to better cope with practical problems and challenges.

5. Improve humanistic quality and cultural accomplishment.

Mathematics, as a common form of knowledge in the development of human civilization, can improve our humanistic quality and cultural accomplishment and help us better understand and appreciate the essence of human civilization.