It is known that the inequality system x + X + 1 / 4 > 1,1.5a-1 / 2 (x + 1) > 1 / 2 (A-X) + 0.5 (2x-1) about X has only one integer solution. Try to determine the value range of A

It is known that the inequality system x + X + 1 / 4 > 1,1.5a-1 / 2 (x + 1) > 1 / 2 (A-X) + 0.5 (2x-1) about X has only one integer solution. Try to determine the value range of A

If x + X + 1 / 4 is greater than 1, X is greater than 3 / 8
From 1.5a-1 / 2 (x + 1) greater than 1 / 2 (A-X) + 0.5 (2x-1), 1.5a-1 / 2 is greater than 1 / 2A + X-1 / 2
Then 1.5A is greater than 1 / 2A + X
The solution is that x is less than a
So, a is greater than x is greater than 3 / 8
Easy to get, the integer solution is 1
That is, a is greater than 1
Also easy to get, X does not = 2,3······
Then a is less than or = 2
In summary, 1 is less than a, or = 2
Try to determine the value range of a, so that the inequality system x + (x + 1) / 4 > 11.5a-0.5 (x + 1) > 0.5 (A-X) + 0.5 (2x-1) has only one integer solution
If inequality can take equal sign, namely x + (x + 1) / 4 > = 1,1.5a-0.5 (x + 1) > = 0.5 (A-X) + 0.5 (2x-1), it is possible, otherwise it is impossible
If we can take the equal sign, then we can get the following two inequalities respectively:
x> 6 and x = 0
Given the solution of the inequality X / a (A / 2-1) about X, then the value range of a is
From (2) we get x > (13a-6) / 4
If the solution of (1) is also the solution of (2), then 6A > = (13a-6) / 4, and a
1】x/a(a/2-1)——————x＞13a/2-3
13A / 2-3 ＜ x ＜ 6a and a ≠ 0
13A / 2-3 < 6a and a ≠ 0 are introduced
So the solution is a < 6 and a ≠ 0
For the second inequality, there are 2x-5a > 3A / 2-3
2x>13a/2-3
x>13a/4-3/2
We know that the solution of the first inequality must be the solution of the second one, that is, the second solution contains the first solution and the first inequality is x / a13a / 2-3
x>13a/4-3/2
From the problem, we know that the solution of the first inequality must be the solution of the second inequality, that is, the second solution contains the first solution and the first inequality is x / AA > = - 6 / 11
The range of a is the range of A
2X power = 4 to the y + 1 power, 27 to the Y power = 9 to the X-1 power, then x + y =?
2^x=(2^2)^(y+1)
2^x=2^(2y+2)
x=2y+2 (1)
(3^3)^y=(3^2)^(x-1)
3^3y=3^(2x-2)
3y=2x-2(2)
Solving equations
y=-2,x=-2
x+y=-4
2x^2-7x+7=0 2y^2-7y+8=0
What are the values of X and y?
x=(7+-((7）^0.5)i)/4
y=(7+-((15)^0.5)i)/4
What is the formula for the circumference of a circle?
I'm 1.57 meters tall with bare feet, 1.6 meters of arm extension, 40 cm of bounce, 46 meters,
π D or 2 π R
2π r
C = π * D or C = 2 * π * r
The following equations 3x + 5Y = 25,4x + 3Y = 15 are solved by the method of addition and subtraction
3x+5y=25 ①
4x+3y=15 ②
① X 4, 12x + 20Y = 100
② And 12x + 9y = 45
③ The solution is y = 5
Substituting y = 5 into 1, we get 3x + 5 × 5 = 25, and the solution is x = 0
The solution of the original equations is: x = 0, y = 5
Solution: 3x + 5Y = 25... (1)
4x+3y=15......(2)
(1) (2) × 3
12x+20y=100....(3)
12x+9y=45........(4)
(3) - (4) get
11y=55
Y=5
Substituting y = 5 into (1) yields
x=(25-5y)/3=(25﹣5×5)/3=0
So x = 0, y = 5
Have a good time
(formula 1 multiplied by 4) - (formula 2 multiplied by 3)
(12x+20y)-(12x+9y)=100-45
11y=55
y=11
Take y into equation 2
3x+55=25
3x=-30
x=-10
Factorization x ^ 3-2x ^ 2 + 3x-2
The best process to clearly understand what to make Baidu image is not necessary, did not learn to do the third-party image
x^3-2x^2+3x-2
=x^3-x^2-(x^2-3x+2)
=x^2(x-1)-(x-1)(x-2)
=(x-1)(x^2-x+2)
Given that the solution set of X inequality A-1 ≤ Log1 / 2x ≤ A is {x | 1 / 4 ≤ x ≤ 1 / 2}, then the value of real number a is
Baidu's other answers are not detailed, some say 1, some say 2
Because f (x) = Log1 / 2 (x) is a decreasing function on x > 0
So when x = 1 / 2, the minimum value A-1 is obtained, that is Log1 / 2 (1 / 2) = A-1, and the solution a = 2
When x = 1 / 4, the maximum value a is obtained, that is Log1 / 2 (1 / 4) = a, and the solution is a = 2
To sum up, a = 2
Answer: a = 2
7x + 2Y = 7,2x + 7Y = 11 What's a simple way to find x + y
I didn't use the easy way to calculate it. It's two right
Please write a simple way to solve the process
By adding the two, we can get 9x + 9y = 18, that is, x + y = 2, and then we can calculate the value of X and y