In a unary equation, what should be done if there is an unknown denominator?

If there is an unknown denominator, it is not a unary equation. Unary equations must be integer equations and cannot contain letters in the denominator. The denominator contains letters that are fractional equations.

How to solve fractional equations.

Denominator The two sides of the equation are multiplied by the simplest common denominator (the simplest common denominator: the coefficient is taken as the least common multiple, the letter that appears is the highest power, and the factor that appears is the highest power), and the fractional equation is reduced to an integral equation; If you encounter numbers that are opposites, don't forget to change the symbols.

Follow the steps to solve the integer equation.

Move items, if there are parentheses, remove the parentheses, pay attention to changing signs, merge similar terms, turn the coefficient to 1, and find the value of the unknown.

Root Verification After finding the value of an unknown number, it is necessary to check the root, because in the process of converting the fractional equation into an integral equation, the range of values of the unknown is expanded, and the root increment may be generated.

If the simplest common denominator is equal to 0, the root is an incremental root. Otherwise this root is the root of the original fractional equation. If the solved root is an additional root, then there is no solution to the original equation.

If the fraction itself is about to be divided, it should also be brought in for inspection.

When solving a problem with a column fractional equation, it is necessary to check not only whether the solution satisfies the equation, but also whether it conforms to the meaning of the problem.

In general, when solving a fractional equation, the solution of the integral equation obtained after removing the denominator may make the denominator in the original equation zero, so the solution of the integral equation should be substituted into the simplest common denominator, and if the value of the simplest common denominator is not zero, it is the solution of the equation.

Note. 1) Pay attention to the denominator when removing the denominator, do not omit to multiply the integer term.

2) The root is the root of the integral equation formed by removing the denominator from the fractional equation, but it is not the solution of the original fractional equation.

3) Root increment so that the simplest denominator is equal to 0

Induction The basic idea of solving fractional equations is to convert fractional equations into integral equations, and the specific method is to "remove the denominator", that is, the simplest common denominator is multiplied on both sides of the equation, which is also the general idea and practice of solving fractional equations.

Multiplying the equation on both sides of the equal sign by the unknown crosses the denominator of the unknown. This approach takes into account whether the unknown is equal to 0.

That equation is both sides at the same time.

Multiply this unknown.

Then the denominator is unknown.

The number is reduced.

This way you can press normal.

The solution of a cubic equation.

The calculations and equations are now being solved.

Multiply the unknown on both sides to cancel out the denominator.

Both sides are multiplied by the denominator with x. That's it. Give it a try.

No. For a quadratic equation to be true, three conditions must be met at the same time:

1. It is an integer equation, that is, both sides of the equal sign are integers.

2. Contains only one unknown.

3. The maximum number of unknown items is 2.

Meaning and characteristics.

The significance of the solution (root) of a quadratic equation: The value of an unknown number that equalizes the left and right sides of a quadratic equation is called the solution of a quadratic equation.

In general, the solution of a quadratic equation is also called the root of a quadratic equation (the solution of an equation containing only one unknown is also called the root of this equation).

Unary one-time, one-dimensional quadratic equations, etc., are all said about integral equations.

In an equation, if there is a denominator containing an unknown number (as long as there is one), it is called an unfractionated equation.

That is to say, the denominator of a quadratic equation cannot contain unknowns (the denominator can be constant).

No.

A quadratic equation is an equation in which the highest power of an unknown is 2nd and the lowest power is 0 (constant term).

If there is an unknown denominator, the number of unknowns is to the negative power. This should be a fractional equation.

For this infinitive, there are generally two ways to solve the problem:

1. If there is a denominator, the score will be calculated first;

2. If there is no denominator, the denominator is created and then calculated, and the general method of creating the denominator is to replace it with a simple answer.

Inverted substitution is a mathematical problem-solving method that reduces the difficulty of the problem or simplifies the process of solving the problem by substituting x=1 t with variables, so as to reduce the difficulty of the problem or simplify the problem-solving process.

For the shape of. <>

It is difficult to use the equivalent infinitesimal substitution and Taylor's formula, and the equivalent infinitesimal substitution and Taylor's formula are the most effective basic methods for finding the limit problem.

Substitution in variables.

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It may bring some convenience to the use of equivalent infinitesimal substitutions, Taylor's formula, or the use of the Dansui Lopida rule.

No. Because of the so-called one-dimensional equations.

That is, the two sides of the equal sign are integer.

There is an equation where there are unknowns, and the number of unknowns is 1. An integer formula refers to a constant, a bridge only guess the letter, the letter and the constant composed of the formula, without the root number, if it is a fraction, Shanqing then the denominator.

There are no unknowns.

If the unknown is in the denominator, then it is a fractional equation.

Finish. A fraction, such as one tenth, can be expressed as 1 times 10 to the power of -1, and a negative number is not in the range of "once".

The equation you are enumerating is not a one-dimensional equation.

And ** Fang Min type Cheng cited during the holiday, 3 a

That is, 3 out of a can be expressed as 3 times a to the power of -1, which is no longer in the range of "once".

Also,**Vacation brother is estimated to be the second year of junior high school mathematics did not learn well,The definition of "fractional equation" is the equation of "unknown number in the denominator", since there is no special definition of unary equations, then the equations that meet this kind of conditions belong to fractional equations.

No, a unary equation refers to an unknown, and an unknown is an equation that calls the oak to argue for a square of the equation. x+3=5 is a one-dimensional one-time square like a dry run. An unknown number is not in the denominator and waiting.

The result is that the original number of acorns is.

Analysis: This question examines the application of a one-dimensional equation, from the meaning of the question, let the original decimal number be x, and the decimal point is moved to the right by one place, that is, it is expanded by 10 times, that is, 10x, list the equation, and solve the unknown.

The problem-solving process is as follows:

Solution: Let the original decimal be x, columnar.

10x-x=

9x=x=x=A: The original number is.

Solving a one-dimensional equation to remove the denominator is introduced as follows:

The way to remove the denominator of a one-dimensional equation is to multiply all numbers by the common multiple of the denominator at the same time, and there are two ways:

Method 1: Multiply by the product of all denominators at the same time.

Method 2: Multiply the spike rot by the least common multiple of the denominator. Break all denominators into prime numbers, find the lowest common multiple of all denominators, and multiply all numbers by the least common multiple.

The method of solving a one-dimensional equation.

There are five steps to solving a univariate equation: denominating, removing parentheses, shifting terms, merging similar terms, and converting coefficients to 1.

For example, solve the equation 3y 2-(y+2) 6-(y-2) 3=1.

Analysis: 1. Remove the denominator, multiply by 6 on both sides of the equation to get 9y-(y+2)-2(y-2)=6.

The mantra is "to remove the denominator to multiply them all, and to put parentheses in the polynomial numerators".

2. Remove the brackets to get 9y-y-2-2y+4=6.

The mantra is "to remove the brackets should also be multiplied, be careful that it is a symbol", pay attention to the following two issues.

1) According to the multiplicative distribution law, each item in the parenthesis must be multiplied by the coefficient in front of the parenthesis when removing the parentheses, and the multiplication should not be missed.

2) When using the multiplicative distributive property to remove parentheses, pay special attention to the sign of the coefficient before the parentheses, and pay attention to the variable sign when the coefficient is negative.

3. Shift the item to get 9y-y-2y=6+2-4.

The mantra is "shift the term, change the number, don't miss the term, and the known unknown interval is equal sign", and the following three problems should be noted.

1) When moving an term in the equation to the other side of the equal sign, pay attention to the change sign.

2) Don't omit a certain term in the process of moving terms, there are six terms on both sides of the equation after removing the brackets, and there should be six terms after moving terms.

3) In general, take the equal sign as the boundary, move the terms containing the unknown number to the left of the equal sign, and move the terms without the unknown number of remarks to the right of the equal sign.

4. Merge similar items to obtain 6y=4.

The formula is "merge the same kind of terms plus the coefficient", and there is also a formula: the same kind of terms, the same kind of terms, except that the coefficients are the same; The coefficient is added at the time of merging, and the rest is written accordingly.

5. The coefficient is 1, and y=2 3 is obtained.

The mantra is "Remember to make 1 a coefficient", and when the coefficient of an unknown number is not 1, divide the coefficient of the unknown number by both sides of the equation.

An equation with a letter in the denominator is called a fractional equation, which is not a one-dimensional equation.

That's the definition.

If the denominator is unknown, it is not a univariate equation.