Solve the following fractional equation. (1) 1x − 3 = 2 + x3 − X; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; (2) 1x + 1 + 2x − 1 = 4x2 − 1

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• 1. Find the fractional equation x + (1 △ x) = 2 My solution is: X & sup2; + 1 = 2x (both sides are the same as - 2): X & sup2; - 1 = 2x-2 (factorization): (x + 1) (x-1) = 2 (x-1) (about X-1 on both sides): x + 1 = 2 The solution is x = 1 Test, bring in the original equation, X ≠ 0, but the following (x-1) is equal to 0 Now ask if x = 1 is the increasing root of this equation
• 2. The fractional equation 3A + 1 x + 1 = a has no solution
• 3. If the fractional equation x + ax − 1 = a has no solution, then the value of a is () A. -1B. 1C. ±1D. -2
• 4. If the fractional equation (x-a) / (x-1) - 3 / x = 1 has no solution, then a= Double x (x-1) x(x-a)-3(x-1)=x(x-1) x²-ax-3x+3=x²-x (a+2)x=3 If a = - 2 Then a + 2 = 0 Then 0 = 3, not true, If a ≠ - 2 Then x = 3 / (a + 2), if there is no solution, then this is an increasing root That is, the common denominator is 0 x(x-1)=0 x=0,x=1 3 / (a + 2) = 0 doesn't hold. Why can't x = 0 be brought into the fractional equation? Then a is an arbitrary value!
• 5. The fractional equation 3 / X-1 / (x + 1) + (x + a) / X (x + 1) = 0 has no solution Come on, now
• 6. If the fractional equation (x-a) / (x-1) - 3 / x = 1 about X has no solution, then a =? Do I have the right solution? Here's my solution: if (a + 2) x = 3, then a = 2 has no solution, When x = 0, there is no solution When x = 1, a + 2 = 3, then a = 1 ∴ a=-2 ,1
• 7. The fractional equation: 1 / (2x + 1) = 1 / (x + n) has increasing roots, then n =? If the problem, detailed problem-solving process, thank you
• 8. If x > 1 / 2 (x-3), 2x + 3
• 9. If the fractional equation 3xx − 1 = MX − 1 has an increasing root, then the value of M is () A. 1B. -1C. 3D. -3
• 10. When m is the value, the fractional equation 1 / X-1 + m / X-2 = 2m + 2 / x ^ 2-3x + 2 has an increasing root
• 11. The solution of fractional equation 5-x / x-4 + 1 / 4-x = 1 5-x and 1 are molecules, and x-4 and 4-x are denominators,
• 12. Solving the fractional equation: 3 − XX − 2-1 = 52 − x
• 13. On fractional equation If a person's speed from a to B is a and that from B to a is B, then his average speed from a to B is () (2ab)/(a+b)
• 14. Application of fractional equation (2) Container a contains 40 l of 20% salt water, and container B contains 30 l of 25% salt water. If the same amount of water is added to the two containers to make them equal, how many liters of water should be added?
• 15. Fraction equation of mathematics problem in grade two of junior high school In the process of urban renewal, a 2400m long road needs to be renovated. In order to reduce the impact of construction on urban traffic, the actual work efficiency is 20% higher than the original plan. As a result, the task is completed 8 hours ahead of schedule. How many meters per hour is the original plan?
• 16. Some problems about fractional equation in mathematics of grade two I'll take the math exam in the afternoon, 1. In the construction of new socialist countryside, a town decided to reconstruct a section of highway. It is known that the project will take 40 days to be completed by project team a alone. If project team B does it alone for 10 days, it will take 40 days to complete, Then the rest of the project will take 20 days for the two teams to complete. (1) the number of days required for team B to complete the project alone. (2) the number of days required for the two teams to complete the project together 2. It is known that a certain project will be completed within 12 days by the cooperation of team a and team B, and the total cost of the project is 13800 yuan. The time for team B to complete the project alone is 10 days less than the time for team a to complete the project alone, In addition, the daily project cost of team a is 150 yuan more than that of team B. (1) how many days does it take for team a and team B to complete the project separately? (2) if it takes 20 days and 30 days for team a and team B to complete the project separately, the project management department decides to choose one of the two teams to complete the project separately. From the perspective of saving funds, which team should be chosen and the reasons should be explained 3. For a section of Expressway under construction, the cooperation of Party A and Party B can be completed in 24 days, which costs 1.2 million yuan; if Party A works alone for 20 days, the rest of the project will be completed by Party B in 40 days, which costs 1.1 million yuan, How many ten thousand yuan each Answer person on the first floor: why do I think your first question seems to be wrong
• 17. Xiaoying and several students went to the stationery store to buy exercise books. The stationery store stipulated that if the purchase reached a certain quantity, they could buy them at the wholesale price. So they gathered together 60 yuan to buy them at the wholesale price. In this way, the number of exercise books purchased was 30 more than that purchased at the retail price. If the wholesale price of each exercise book was 45 times of the retail price, what was the retail price of each exercise book How much is it?
• 18. A new coating is prepared with 100 yuan a coating and 200 yuan B coating. Its price per kilogram is 3 yuan less than that of a coating and 1 yuan more than that of B coating. How much is the price per kilogram of this new coating?
• 19. When m is an integer, the equations x2-4x + M = 0 and x2-3x - (m-1) = 0 have integer roots
• 20. Noel's equation x + 4x + K + 2K minus 35 = 0 has a root of 0, then the value of K is 0