Given that a and B are rational numbers, if the value of the formula (AX & # 178; + 2bx-y + 1) - (3x & # 178; - 4x + 10y-2 / 3) has nothing to do with the value of X, try to find the value of a and B What's more: a water conservancy construction site sends 48 people to excavate and transport soil. If each person excavates 5 cubic meters of soil or transports 3 cubic meters of soil every day, how to arrange the personnel to transport the excavated soil in time? In the road construction project of the western development, there is an important project that needs the cooperation of two engineering teams. It is known that it takes 20 days for team a to do it alone, and 12 days for team B to do it alone? It takes 32 days to complete a job by one person. Now it is planned that some people will do it for 2 days, and then one more person will work with them for 4 days to complete half of the job. Assuming that these people have the same work efficiency, how many people should be assigned to work first? Electric locomotive and maglev train start from two places 894km apart at the same time. The speed of maglev train is 20km / h faster than that of electric locomotive. After 1.5h, the two cars meet. What are the speeds of the two cars? In a math self-study class, Xiao Ming said to his deskmate: "I find a number, add 2 first and then divide by 3, which is the same as adding 3 first and then divide by 2. Do you know which number I am looking for?" can you find out this number? Try it!

Given that a and B are rational numbers, if the value of the formula (AX & # 178; + 2bx-y + 1) - (3x & # 178; - 4x + 10y-2 / 3) has nothing to do with the value of X, try to find the value of a and B What's more: a water conservancy construction site sends 48 people to excavate and transport soil. If each person excavates 5 cubic meters of soil or transports 3 cubic meters of soil every day, how to arrange the personnel to transport the excavated soil in time? In the road construction project of the western development, there is an important project that needs the cooperation of two engineering teams. It is known that it takes 20 days for team a to do it alone, and 12 days for team B to do it alone? It takes 32 days to complete a job by one person. Now it is planned that some people will do it for 2 days, and then one more person will work with them for 4 days to complete half of the job. Assuming that these people have the same work efficiency, how many people should be assigned to work first? Electric locomotive and maglev train start from two places 894km apart at the same time. The speed of maglev train is 20km / h faster than that of electric locomotive. After 1.5h, the two cars meet. What are the speeds of the two cars? In a math self-study class, Xiao Ming said to his deskmate: "I find a number, add 2 first and then divide by 3, which is the same as adding 3 first and then divide by 2. Do you know which number I am looking for?" can you find out this number? Try it!


According to the meaning of the title,
So, if all the terms of X can be eliminated, then
(a-3)x^2=0 , a=3
(2b+4)x =0 b=-2
2. Set X people for digging and y people for transporting
5x=3y
x+y=48
The solution is x = 18, y = 30
3. Party A completes 1 / 20 every day and Party B completes 1 / 12 every day
4(1/20+1/12)+4/20+ x(1/20+1/12)=1
x=2
So it's going to take another two days to complete
4. Suppose x people are arranged first, and each person completes 1 / 32 of the work every day
x*2/32+(x+1)*4/32=1/2
x+2*(x+1)=8
x=2
So I'll arrange two people to do the work first
5. If the tram speed is x km / h and the maglev speed is 5x + 20 km / h, then
(x+5x+20)*1.5 =894
x=96 km/h
5x+20=500km/h
6. Let this number be X
(x+2)/3=(x+3)/2
The solution is x = - 5



The value of (AX & # 178; + + 2bx-y + 1) - (2x & # 178; - 4x + 10y-2 / 3) has nothing to do with the value of X. how to calculate the value of a and B?


Let's remove the brackets first. Because it has nothing to do with X, if we merge the similar terms related to X and x ^ 2, there will be (A-2) x ^ 2 + (2B + 4) x-11y + five thirds. Let the value in brackets be 0, then there will be A-2 = 0, 2b + 4 = 0, that is, a = 2, B = - 2



The value of (AX & # 178; + 2bx-y + 1) - (2x & # 178; - 4x + 10y-2 / 3) has nothing to do with the value of X. how to calculate the value of a and B?


(ax²+2bx-y+1)-(2x²-4x+10y-2/3)=ax²+2bx-y+1-2x²+4x-10y+2/3=(a-2)x²+(2b+4)x-11y-1/3
According to the meaning of the title:
a-2=0 a=2
2b+4=0 b=-2