When m is the value, the equation about X (X-2 / 2x-3) = (X-2 / M + 4) will produce augmented roots Urgent! Urgent!

When m is the value, the equation about X (X-2 / 2x-3) = (X-2 / M + 4) will produce augmented roots Urgent! Urgent!

Multiply both sides by X-2
2x-3=m+4
∵ there is increasing root
∴x=2
∴4-3=m+4
m=-3

When m is the value, the equation 2 / X-2 + m / x? - 2x = 3 / x + 2 on X will have roots

2 / (X-2) + m / (x? - 2x) = 3 / (x + 2) 2x (x + 2) + m (x + 2) = 3x (X-2) (both sides of the equation are multiplied by the simplest common denominator x (x + 2) (X-2)) 2x ^ 2 + 4x + MX + 2m = 3x ^ 2-6x - x ^ 2 + (10 + m) x + 2m = 0

Given that x = 1 / 2 is the root of equation (2x-m) / 4-1 / 2 = (x-m) / 3, find the value of M I've seen it. Some of them have solved M = 0, but why? How can I calculate M = 5?

Substituting x = 1 / 2 into the equation, we get the following results:
(2*1/2-m)/4-1/2=(1/2-m)/3
(1-m) / 4-1 / 2 = (1 / 2-m) / 3 multiply by 12
3(1-m)-6=4(1/2-m)=2-4m
3-3m-6=2-4m
-3-3m=2-4m
4m-3m=2+3
M=5

If the solution set of the inequality system 2x-a is less than 1 and x-2b is greater than 3, then the value of (a + 1) (B-1) is

2x-a<1
x<(a+1)/2
x-2b>3
x>2b+3
So 2B + 3 solution set is - 1, so 2B + 3 = - 1
(a+1)/2=1
b=-2,a=1
So (a + 1) (B-1) = 2 × (- 3) = - 6

It is known that x-a is greater than or equal to B and 2x-a

x-a>=b
2x-a=a+b
X

Seeking inequality group x−3 2(2x−1)≤4 1+3x 2 ＞ 2x − 1

x−32(2x−1)≤4                ①1+3x2＞2x−1            &nb...

Solving inequalities 10−4(x−3)≥2(x−1)① x−1＞1−2x The integral solution of the inequality system is given

The solution of inequality 1 is x ≤ 4,
The solution of inequality 2 is x > 4
5，
So the solution of the inequality system is 4
5＜x≤4，
So its integer solution is 1, 2, 3, 4

System of inequalities 2x＞−3 The minimum integer solution of X − 1 ≤ 8 − 2x is______ .

The solution set of inequality system is - 3
2＜x≤3，
Where the integer solution is - 1, 0, 1, 2, 3
So the minimum integer solution is - 1

Inequality 1 + X 2＞2x−1 The nonnegative integer solution of 3 is______ .

3 (1 + x) > 2 (2x-1)
Remove the brackets to get 3 + 3x > 4x-2
X ＜ 5 is obtained by combining similar items
The nonnegative integer solution is 0,1,2,3,4

Is the integer solution of the inequality system 1-x greater than or equal to 0 and 2x-1 greater than 3?

1-x>=0
x<=1
2x-1>3
2x>4
X>2
unsolvable