Given that x = 2 is the solution of the equation 2x-m / 3-2 = x + m, find the solution of the inequality (1-m / 3) x < 1-m / 2

Given that x = 2 is the solution of the equation 2x-m / 3-2 = x + m, find the solution of the inequality (1-m / 3) x < 1-m / 2


Substituting x = 2 into the equation 2x-m / 3-2 = x + m, we get - M / 3 = m, so m = 0;
Inequality (1-m / 3) x < 1-m / 2 is: X



Given that x = - 1 is the solution of equation 2 (x + 4) = x-a about X, then the solution set of inequality 2 (y-quarter a) ≤ 1 about y is


First solve a = - 7, then take it in, y ≤ - 5 / 4



Given x + y = 5, xy = 6, find the value of X, y


X = 3, y = 2 (x + y) square = x square + y square + 2XY, that is, 25 = x square + y square + 12 x square + y square = 13 (X-Y) square = x square + y square - 2XY, that is, (X-Y) square = 1 X-Y = 1 x + y + X-Y = 2x = 6 x = 3 y = 2



How much is one minus one ninth
Use it today


Eight out of nine



The inverse proportion function y = (m-1) x ^ (m ^ 2-m-3) is known. When x is less than 0, y decreases with the increase of X. The analytic expression of the inverse proportion function is obtained


Inverse scale function y = (m-1) x ^ (m ^ 2-m-3)
m^2-m-3=-1
m^2-m-2=0
(m-2)(m+1)=0
M = 2 or M = - 1
When x is less than 0, y decreases with the increase of X
m-1>0
m>1
So m = 2
To sum up
y=1/x



Eight people use 20 yuan to buy water, 2 yuan for coke and 3 yuan for milk tea. If 20 yuan is just used up, how many ways can they buy? How many cups of coke and milk tea are there in each way?
Use a quadratic equation of two variables


Set to buy Coke x cup, milk tea y cup
2x+3y=20.
x+y=8.
The solution is x = 4, y = 4
Only in this way can one drink be guaranteed for each person, and 20 yuan is just used up



Try to find the maximum and minimum values of the function f (XY) = x squared by Y multiplied by (4-x-y) in the area D enclosed by the straight line x + y = 6, y = 0, x = 0


The space surface problem, x > = 0, Y > = 0, x + Y0, defines 4-x-y = k > 0, takes y = 4-x-k into fxy, calculates the derivative of x = 0, and obtains
k=-1.5x,
Take y = 4-x-k, k = 4-1.5x into fxy, calculate the derivative of x = 0, and get x = 2,
K = 1, y = 1
FXY=2*2*1*(4-1-2)=4;



In a supermarket, the unit price of a kind of fruit juice is twice that of B kind of fruit juice. Xiaoming bought 3 cups of B kind of fruit juice and 2 cups of a kind of fruit juice, which cost 14 yuan in total


Let B be X,
4x+3x=14
7x=14
x=2
A juice 2 * 2 = 4
A: the unit price of a and B kinds of juice is 4 yuan and 2 yuan respectively,



1. The result of the cubic operation of the square of a multiplied by (- a)
2. The following calculation is correct: 2A + 3A = 6a, a square multiplied by a cube = A6, the eighth power of a divided by the fourth power of a cube = a 3, (- 1 / 2)


a^2*(-a)^3=-a^5
The eighth power of a divided by the fourth power of a = the fourth power of a
(-1/2)³= -1/8



A passenger car from a to B, a distance of 300 kilometers to B, 45 minutes after driving, a freight car at the speed of 10 kilometers faster than the passenger car
Lie equation


Let the speed of the freight car be X,
45 minutes = 3 / 4 hours
(150/x+3/4)(x-10)=150
150-1500/x+3x/4-30/4=150
3x/4-30/4-1500/x=0
3x^2-30x-6000=0
x^2-10x-2000=0
(x-50)(x+40)=0
x=50
So the bus speed is X-10 = 40