How to solve mathematical equations 20

This one is a bit unspecific. However, I have encountered similar problems when I was studying, first of all, I should find some simple example problems, do them, and improve my understanding. Then you can increase the difficulty, after a long time, you can practice makes perfect, solve mathematical equations, you also need to be proficient in mathematical formulas, in order to do a good grasp.

Of course, there are a lot of mathematical formulas, some of which can be memorized flexibly, and some of which require rote memorization.

Hehe, I hope the above communication can give you a little help!

General equation: shift.

Column]: x+5=15

x=15-5

x=10 fractional solution equation: both sides of the equation are multiplied by the least common multiple of several fractions.

Column]: 2 5x=10+1 2

Multiply 10 on both sides of the equation at the same time

4x=100+5

Fractional equations? Something like 1 2 = 5 x, cross multiply, and then it's easy

Well, your question is not detailed, I really won't, let's ask my sister again

Anyway, my grades are good

According to the nature of equation 1, an identical number can be added or subtracted from both sides of the equation at the same time, equation; The property of equation 2, which can be multiplied or divided by a number (except 0) on both sides of the equation at the same time, and the equation does not change.

If you think of the fraction as a number, you can get it, or you can go to the denominator and then calculate it.

The first problem in the equation is very simple, it can be done in a minute, so why waste time in other ways.

Generally, it is more convenient to remove the denominator and convert the coefficient into an integer.

It's the same as integers and decimals.

Don't be afraid of trouble! First pass!

Fractions are not solved into integers, step by step, so easy

Don't be afraid of trouble! First pass! in addition and subtraction.

Common ways to find the maximum value are:

1.Matching method:

The maximum value of the liquid disturbance function is determined according to the value of the extreme point or boundary point of the quadratic function.

2.Discriminative Method:

A fractional function of the form and turns it into a quadratic equation with a coefficient y about x. Since, 0, to find the maximum value of y, this method is easy to produce root addition, so it is necessary to test whether there is a solution to the corresponding x value when the maximum value is obtained.

3.Using the Monotonicity of a Function First, the domain and monotonicity of the function are defined, and then the maximum value is found.

4.Take advantage of mean inequalities, functions of form, and, pay attention to the application conditions of positive, definite, etc., i.e.:

a, b are both positive numbers, is a fixed value, a=b equal sign is true.

5.Commutation method:

The function of the form, let , inversely solve x, substitut the above equation, get the function about t, pay attention to the range of the definition domain of t, and then find the maximum value of the function about t.

There is also trigonometric commutation method, parameter commutation method.

6.Number-form combination method.

For example, the left side of the equation is regarded as a function and the right side is regarded as a function, and their images are made in the same sitting system, their position relationships are observed, and the maximum value is found by using the knowledge of analytic geometry.

Find the maximum value of the shape using the slope formula of the straight line.

7.Use the derivative to find the maximum value of the function.

First, convert all percentages and fractions to decimals, 20%=, 90 20=, and the original formula is converted to:

The left and right sides are reduced at the same time.

x=x=x.

Analysis: 20%x+90 20=5200

Shift term – both sides of the equation are subtracted by 90 20 = 9 2 at the same time

Get 20%x=5200-9 2=

The coefficient is 1 – both sides of the equation are divided by 20% at the same time

Get x=

This is a problem of solving the full length of the highway in a circular way, which can be solved using a one-dimensional quadratic equation.

Let the total length of the highway be x

According to the conditions given in the question:

On the first day, 15% of the total length was repaired, which is x*

The next day 300 meters were repaired.

7/10 of the total length remains

The equation can be obtained:

300 = x10/7

Solution x = 2100 meters.

The total length of the road is 2,100 meters.

x*7/10 + 300 = x

x = 2100

where x is an unknown and 2100 is the solution of the equation.

4x-8+40=5x to solve the equation.

4x+32=5x

Then subtract 4x from both sides, so that the formula is 32=x, which means that the answer is x=32

This problem of solving equations, mainly when shifting terms, pay attention to the symbols, don't be wrong, the original formula can become five x -4x is equal to 40-8, x is equal to 32.

The calculation process according to the topic is as follows:

4x-8+40＝5x

4x+32＝5x

5x-4x＝32

x＝32

Move 5x to the right and the number to the left to get x 32, which is x 32

You move 4x to the right of the equal sign, and minus eight plus 40 equals x, so x=32

It's also very easy to solve the equation math, move x to the left, move the tree to the right, and then divide the number on the right by the number on the left is x

This is a one-dimensional equation. The term with x is moved to the right, and the constant term is left on the left, and x is equal to 32.

You also need people to solve this kind of equation, which shows that your academic performance is embarrassing! It's like a third-grade elementary school student can't add or subtract, it's embarrassing!

Thank you, I wish you to catch up with your classmates in the summer!

The first equation x 7 32

The second equation x 3 and 1 13

The third equation x 13 14

X+ solution: Shut the mind and slow down the blind core x+ car model 10825

1+x=10825÷

x=10000