What is a unary equation and what is a unary equation

If there is only one unknown, and the equation containing the unknown number is an integer, and the number of unknowns is 1, such an equation is called a one-dimensional equation.

An equation that contains only one unknown, and the order of the highest order term containing unknowns is one, is called a univariate equation. The usual form is ax+b=0 (a, b is constant, and a≠0). Unary equations belong to integral equations, i.e., both sides of the equation are integers.

Unary means that the equation contains only one unknown, and the number of times that the number of unknowns is 1, and the coefficient of the unknown is not 0. We call ax+b=0 (where x is an unknown number, a, b are known numbers, and a≠0) as the standard form of a unary linear equation. Here a is the coefficient of the unknown, b is the constant, and the degree of x must be 1.

The linear equation in one is in English

The solution of a one-dimensional equation.

The value of an unknown that equalizes the left and right sides of the equation is called the solution of the equation. ax=b solution: when a≠0, b=0, ax=0 x=0;When a≠0, x=b a.

When a=0, b=0, the equation has an infinite number of solutions (note: this case does not belong to the unary equation, but to the identity equation) When a=0, b≠0, the equation has no solution Example: (3x+1) 2-2=(3x-2) 10-(2x+3) 5 denominator (the least common multiple of each denominator on both sides of the equation), 5(3x+1)-10 2=(3x-2)-2(2x+3) unparentheses, 15x+5-20=3x-2-4x-6 15x-3x+4x=-2-6-5+20 is obtained by combining similar terms, 16x=7 coefficient is reduced to 1, x=7 16.

1.It is a variable, and this variable is a formula with only one primary square, not square or cube, etc., which is called a one-dimensional equation.

2.That is, there is only one English symbol, and this English symbol is a formula with only one primary square, not square or cube, etc., which is called a one-dimensional equation. For example, 3x+5=0, where there is only one English symbol and only one square in the formula.

If we take another example of 3x+y=0, because there are two English symbols, it is not.

That is, there is only one unknown in the equation, and the exponent of this unknown must be 1 (i.e. the unknown cannot be squared several times).

What is the definition of a univariate linear equation.

The definition of unary equations: a unary equation is an equation that contains only one unknown, the highest order of unknowns is 1, and both sides are integers; Its general form is: ax+b=0(a≠0).

Unary equations have only one root. The unary equation can solve most of the engineering problems, travel problems, distribution problems, profit and loss problems, points table problems, billing problems, and number problems.

The method of solving a one-dimensional equation.

1.Merge the same kind of silver.

As learned in the addition and subtraction of integers, the process of merging the terms with unknowns and constants on the same side of the equal sign into one term is called merging terms of the same class. The purpose of merging similar terms is to deform a form close to x=a, and further find the solution of the unary equation.

2.Transposition. Concept: Moving an term on one side of the equation to the other side is called a shift.

Basis: The basis for the shift is the nature of equation 1.

Purpose: Usually move all terms with unknowns to the left of the equal sign, and all items without unknowns to the right of the equal sign, so that the equation is closer to the form of x=a.

1. A one-dimensional equation is an equation that contains only one unknown, the highest number of unknowns is 1, and both sides are integers. There is only one root of the one-dimensional one-time stuffiness equation. One yuan and one drawback, the leakage of the equation can solve the vast majority of engineering problems, travel problems, distribution problems, profit and loss problems, points table problems, billing problems, and number problems.

2. If there is only one unknown, and the high order of the unknown is 1, and both sides of the equal sign are integers, such an equation is called a linearequation withoneunknown. Its general form is: ax+b=0 (x does not equal 0).

For example, if you know that 2x=4, then x=2.

An integer equation that contains only one unknown in an equation and the highest order of unknowns is 1 is called a univariate equation.

Unary Linear Equations.

Extension: Unary equations were first found in ancient Egypt around 1600 BC. Around 820 A.D., the mathematician Kharazimi proposed the idea of a one-dimensional equation of "merging similar terms" and "shifting terms" in the book "Elimination and Reduction".

Statue of Khorazmi.

In the 16th century, after the mathematician Veda founded symbolic algebra, he proposed the proposition of shifting terms and co-division of equations. In 1859, the mathematician Li Shanlan officially translated this type of equation as a one-dimensional equation.

Nine chapters of arithmetic. Around the 1st century BC, the Chinese added negative numbers for the first time in the Nine Chapters of Arithmetic, and proposed the algorithm of positive and negative numbers to solve the problem of shifting. In the chapter "Deficit Deficit", the technique of deficit is proposed.

However, this method is not used to solve unary equations. In the 11th and 13th centuries it was introduced to Arabia and became known as the "Khitan algorithm".