When () the fraction 3x + 1 / 2x-6 is meaningful; when () is (), the value of fraction 3x + 1 / 2x-6 is 0; if the fraction M / 2x-3 is meaningless, then X=

When () the fraction 3x + 1 / 2x-6 is meaningful; when () is (), the value of fraction 3x + 1 / 2x-6 is 0; if the fraction M / 2x-3 is meaningless, then X=

When (x ≠ 3), the fraction 3x + 1 / 2x-6 is meaningful; when (x = - 1 / 3), the value of fraction 3x + 1 / 2x-6 is 0; if the fraction M / 2x-3 is meaningless, then x = 3

If fraction 1 X2 − 2x + m no matter what value x is, the value range of M is () A. m≥1 B. m>1 C. m≤1 D. m<1

Fraction 1
X2 − 2x + m no matter what value x takes, its denominator must not be equal to 0,
The denominator is sorted into (a + b) 2 + K (k > 0)
(x2-2x+1)+m-1=(x-1)2+(m-1),
Because the value of X (x2-2x + 1) + M-1 = (x-1) 2 + (m-1) is not equal to 0,
So M-1 > 0, that is, M > 1,
Therefore, B

If the fraction x-2x-m is 1, no matter what the value of X is, find the range of M

1 / (x? - 2x-m) makes sense
Let y = x? - 2x-m
Opening up
Delta

If, regardless of the value of X, the fraction x squared + 2x + 1 / C always makes sense, then C=

C is not equal to 1

If a + (1 / a) = 5 / 2, then a - (1 / a) =?

∵a+(1/a)=5/2
∴[a+(1/a)]²=25/4
That is a 2 + 2 + 1 / a 2 = 25 / 4
The result shows that a 2 + 1 / a 2 = 17 / 4
∵(a-1/a)²=a²-2+1/a²=17/4-2=9/4
ν A-1 / a = plus or minus 3 / 2

When x = value, fraction X-7 / x2 + 1 is meaningful. When x = value, fraction X / (x + 1) (x-3) is meaningful 3. When x = value, the fraction x? 2 / 3x-7 is negative

1. When x = any real number, the fraction X-7 / x2 + 1 is meaningful
2. When x ≠ - 1 and X ≠ 3, the fraction X / (x + 1) (x-3) is meaningful
3. When x = x < 7 / 3 and X ≠ 0, the fraction x? 2 / 3x-7 is negative
3x-7<0
x<7/3
x²≠0
x≠0
Ψ x < 7 / 3 and X ≠ 0

Mathematical fraction problems in the second year of junior high school The owner of a bookstore went to the book wholesale market to buy some books. He bought several books with 1200 yuan for the first time. He sold them at 7 yuan for the book, and soon sold out. Because the book sold well, the wholesale price of each book was 20% higher than that of the first time. He bought 10 more books with 1500 yuan than the first time. When 200 copies were sold at the fixed price, the remaining books were sold out at a 40% discount, ① How many books does the bookstore owner buy for the first time? How much is the wholesale price per book? ② How much did the boss lose money or make money (regardless of other factors) in the two sales? If he lost money, how much did he lose? If he made money, how much did he make?

Let's buy a copy for the first time, and the wholesale price is B yuan
Then, a * b = 1200
(a+10)b*1.2=1500
A = 240 B = 5 is obtained
The second time, wholesale price 6 yuan, into 250 copies
The first time, earned 2 * 240 = 480
For the second time, we made 7 * 200 + 7 * 0.4 * 50-1500 = 40
In total, 520

What is the relationship between a zero fraction and a meaningless fraction

If the value of the fraction is zero, the numerator is zero and the denominator is not zero
If the fraction is meaningless, the denominator is zero
If the value of the fraction is zero and the denominator is reversed, the new fraction is meaningless

The condition of meaningless fraction

If the denominator is zero, the fraction is meaningless

(1) If the fraction is meaningful, then____ (2) if the fraction is meaningless, then___ (3) If the value of the fraction is 0, then____

(1) if the fraction is meaningful, the denominator is not equal to 0
(2) if the fraction is meaningless, the denominator is equal to 0
(3) If the value of the fraction is 0, the numerator is equal to 0 and the denominator is not equal to 0