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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (17.4*0.0052)/(17.4-x)+(7.18*0.249)/(7.18-x)+(5*0.0883)/(5-x)+(2.17*0.087)/(2.17-x)+(2*0.0305)/(2-x)+(1*0.54)/(1-x) = 0 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
Remove a bracket on the left of the equation:
The solution of the equation:
x1≈1.584546 , keep 6 decimal places
x2≈2.041842 , keep 6 decimal places
x3≈2.870336 , keep 6 decimal places
x4≈5.502187 , keep 6 decimal places
x5≈17.062213 , keep 6 decimal places
There are 5 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (17.4*0.0052)/(17.4-x)+(7.18*0.249)/(7.18-x)+(5*0.0883)/(5-x)+(2.17*0.087)/(2.17-x)+(2*0.0305)/(2-x)+(1*0.54)/(1-x) = 0 .
Question type: Equation
Solution:Original question:
| ( | 87 5 | × | 13 2500 | ) | ÷ | ( | 87 5 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ÷ | ( | 359 50 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ÷ | ( | 5 | − | x | ) | + | ( | 217 100 | × | 87 1000 | ) | ÷ | ( | 217 100 | − | x | ) | + | ( | 2 | × | 61 2000 | ) | ÷ | ( | 2 | − | x | ) | + | ( | 1 | × | 27 50 | ) | ÷ | ( | 1 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 87 5 | − | x | ) |
| ( | 87 5 | × | 13 2500 | ) | + | ( | 359 50 | × | 249 1000 | ) | ÷ | ( | 359 50 | − | x | ) | × | ( | 87 5 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ÷ | ( | 5 | − | x | ) | × | ( | 87 5 | − | x | ) | + | ( | 217 100 | × | 87 1000 | ) | ÷ | ( | 217 100 | − | x | ) | × | ( | 87 5 | − | x | ) | + | ( | 2 | × | 61 2000 | ) | ÷ | ( | 2 | − | x | ) | = | 0 |
87 5 | × | 13 2500 | + | ( | 359 50 | × | 249 1000 | ) | ÷ | ( | 359 50 | − | x | ) | × | ( | 87 5 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ÷ | ( | 5 | − | x | ) | × | ( | 87 5 | − | x | ) | + | ( | 217 100 | × | 87 1000 | ) | ÷ | ( | 217 100 | − | x | ) | × | ( | 87 5 | − | x | ) | + | ( | 2 | × | 61 2000 | ) | = | 0 |
1131 12500 | + | ( | 359 50 | × | 249 1000 | ) | ÷ | ( | 359 50 | − | x | ) | × | ( | 87 5 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ÷ | ( | 5 | − | x | ) | × | ( | 87 5 | − | x | ) | + | ( | 217 100 | × | 87 1000 | ) | ÷ | ( | 217 100 | − | x | ) | × | ( | 87 5 | − | x | ) | + | ( | 2 | × | 61 2000 | ) | ÷ | ( | 2 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 359 50 | − | x | ) |
1131 12500 | ( | 359 50 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ( | 87 5 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ÷ | ( | 5 | − | x | ) | × | ( | 87 5 | − | x | ) | ( | 359 50 | − | x | ) | + | ( | 217 100 | × | 87 1000 | ) | ÷ | ( | 217 100 | − | x | ) | × | ( | 87 5 | − | x | ) | ( | 359 50 | − | x | ) | = | 0 |
1131 12500 | × | 359 50 | − | 1131 12500 | x | + | ( | 359 50 | × | 249 1000 | ) | ( | 87 5 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ÷ | ( | 5 | − | x | ) | × | ( | 87 5 | − | x | ) | ( | 359 50 | − | x | ) | + | ( | 217 100 | × | 87 1000 | ) | ÷ | ( | 217 100 | − | x | ) | = | 0 |
406029 625000 | − | 1131 12500 | x | + | ( | 359 50 | × | 249 1000 | ) | ( | 87 5 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ÷ | ( | 5 | − | x | ) | × | ( | 87 5 | − | x | ) | ( | 359 50 | − | x | ) | + | ( | 217 100 | × | 87 1000 | ) | ÷ | ( | 217 100 | − | x | ) | × | ( | 87 5 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 5 | − | x | ) |
406029 625000 | ( | 5 | − | x | ) | − | 1131 12500 | x | ( | 5 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ( | 87 5 | − | x | ) | ( | 5 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ( | 87 5 | − | x | ) | ( | 359 50 | − | x | ) | + | ( | 217 100 | × | 87 1000 | ) | = | 0 |
406029 625000 | × | 5 | − | 406029 625000 | x | − | 1131 12500 | x | ( | 5 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ( | 87 5 | − | x | ) | ( | 5 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ( | 87 5 | − | x | ) | = | 0 |
406029 125000 | − | 406029 625000 | x | − | 1131 12500 | x | ( | 5 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ( | 87 5 | − | x | ) | ( | 5 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ( | 87 5 | − | x | ) | ( | 359 50 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 217 100 | − | x | ) |
406029 125000 | ( | 217 100 | − | x | ) | − | 406029 625000 | x | ( | 217 100 | − | x | ) | − | 1131 12500 | x | ( | 5 | − | x | ) | ( | 217 100 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ( | 87 5 | − | x | ) | ( | 5 | − | x | ) | = | 0 |
406029 125000 | × | 217 100 | − | 406029 125000 | x | − | 406029 625000 | x | ( | 217 100 | − | x | ) | − | 1131 12500 | x | ( | 5 | − | x | ) | ( | 217 100 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | = | 0 |
88108293 12500000 | − | 406029 125000 | x | − | 406029 625000 | x | ( | 217 100 | − | x | ) | − | 1131 12500 | x | ( | 5 | − | x | ) | ( | 217 100 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ( | 87 5 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 2 | − | x | ) |
88108293 12500000 | ( | 2 | − | x | ) | − | 406029 125000 | x | ( | 2 | − | x | ) | − | 406029 625000 | x | ( | 217 100 | − | x | ) | ( | 2 | − | x | ) | − | 1131 12500 | x | ( | 5 | − | x | ) | = | 0 |
88108293 12500000 | × | 2 | − | 88108293 12500000 | x | − | 406029 125000 | x | ( | 2 | − | x | ) | − | 406029 625000 | x | ( | 217 100 | − | x | ) | ( | 2 | − | x | ) | − | 1131 12500 | = | 0 |
88108293 6250000 | − | 88108293 12500000 | x | − | 406029 125000 | x | ( | 2 | − | x | ) | − | 406029 625000 | x | ( | 217 100 | − | x | ) | ( | 2 | − | x | ) | − | 1131 12500 | x | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | x | ) |
88108293 6250000 | ( | 1 | − | x | ) | − | 88108293 12500000 | x | ( | 1 | − | x | ) | − | 406029 125000 | x | ( | 2 | − | x | ) | ( | 1 | − | x | ) | − | 406029 625000 | x | ( | 217 100 | − | x | ) | = | 0 |
88108293 6250000 | × | 1 | − | 88108293 6250000 | x | − | 88108293 12500000 | x | ( | 1 | − | x | ) | − | 406029 125000 | x | ( | 2 | − | x | ) | ( | 1 | − | x | ) | − | 406029 625000 | = | 0 |
88108293 6250000 | − | 88108293 6250000 | x | − | 88108293 12500000 | x | ( | 1 | − | x | ) | − | 406029 125000 | x | ( | 2 | − | x | ) | ( | 1 | − | x | ) | − | 406029 625000 | x | = | 0 |
88108293 6250000 | − | 88108293 6250000 | x | − | 88108293 12500000 | x | × | 1 | + | 88108293 12500000 | x | x | − | 406029 125000 | x | ( | 2 | − | x | ) | = | 0 |
The solution of the equation:
x1≈1.584546 , keep 6 decimal places
x2≈2.041842 , keep 6 decimal places
x3≈2.870336 , keep 6 decimal places
x4≈5.502187 , keep 6 decimal places
x5≈17.062213 , keep 6 decimal places
There are 5 solution(s).
解程的详细方法请参阅：《方程的解法》