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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 （2.17*0.08613）/（2.17-x）+（2*0.0305）/（2-x）+（1*0.54）/（1-x）+（7.18*0.249）/（7.18-x）+（5*0.0883）/（5-x）+（17.4*0.0052）/（17.4-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 solution of the equation:
x1≈1.585799 , keep 6 decimal places
x2≈2.042158 , keep 6 decimal places
x3≈2.867017 , keep 6 decimal places
x4≈5.501954 , keep 6 decimal places
x5≈17.062058 , 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 （2.17*0.08613）/（2.17-x）+（2*0.0305）/（2-x）+（1*0.54）/（1-x）+（7.18*0.249）/（7.18-x）+（5*0.0883）/（5-x）+（17.4*0.0052）/（17.4-x） = 0 .
Question type: Equation
Solution:Original question:
| ( | 217 100 | × | 8613 100000 | ) | ÷ | ( | 217 100 | − | x | ) | + | ( | 2 | × | 61 2000 | ) | ÷ | ( | 2 | − | x | ) | + | ( | 1 | × | 27 50 | ) | ÷ | ( | 1 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ÷ | ( | 359 50 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ÷ | ( | 5 | − | x | ) | + | ( | 87 5 | × | 13 2500 | ) | ÷ | ( | 87 5 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 217 100 | − | x | ) |
| ( | 217 100 | × | 8613 100000 | ) | + | ( | 2 | × | 61 2000 | ) | ÷ | ( | 2 | − | x | ) | × | ( | 217 100 | − | x | ) | + | ( | 1 | × | 27 50 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 217 100 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ÷ | ( | 359 50 | − | x | ) | × | ( | 217 100 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ÷ | ( | 5 | − | x | ) | = | 0 |
217 100 | × | 8613 100000 | + | ( | 2 | × | 61 2000 | ) | ÷ | ( | 2 | − | x | ) | × | ( | 217 100 | − | x | ) | + | ( | 1 | × | 27 50 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 217 100 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ÷ | ( | 359 50 | − | x | ) | × | ( | 217 100 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | = | 0 |
1869021 10000000 | + | ( | 2 | × | 61 2000 | ) | ÷ | ( | 2 | − | x | ) | × | ( | 217 100 | − | x | ) | + | ( | 1 | × | 27 50 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 217 100 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ÷ | ( | 359 50 | − | x | ) | × | ( | 217 100 | − | x | ) | + | ( | 5 | × | 883 10000 | ) | ÷ | ( | 5 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 2 | − | x | ) |
1869021 10000000 | ( | 2 | − | x | ) | + | ( | 2 | × | 61 2000 | ) | ( | 217 100 | − | x | ) | + | ( | 1 | × | 27 50 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 217 100 | − | x | ) | ( | 2 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ÷ | ( | 359 50 | − | x | ) | × | ( | 217 100 | − | x | ) | ( | 2 | − | x | ) | = | 0 |
1869021 10000000 | × | 2 | − | 1869021 10000000 | x | + | ( | 2 | × | 61 2000 | ) | ( | 217 100 | − | x | ) | + | ( | 1 | × | 27 50 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 217 100 | − | x | ) | ( | 2 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ÷ | ( | 359 50 | − | x | ) | = | 0 |
1869021 5000000 | − | 1869021 10000000 | x | + | ( | 2 | × | 61 2000 | ) | ( | 217 100 | − | x | ) | + | ( | 1 | × | 27 50 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 217 100 | − | x | ) | ( | 2 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | ÷ | ( | 359 50 | − | x | ) | × | ( | 217 100 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | x | ) |
1869021 5000000 | ( | 1 | − | x | ) | − | 1869021 10000000 | x | ( | 1 | − | x | ) | + | ( | 2 | × | 61 2000 | ) | ( | 217 100 | − | x | ) | ( | 1 | − | x | ) | + | ( | 1 | × | 27 50 | ) | ( | 217 100 | − | x | ) | ( | 2 | − | x | ) | + | ( | 359 50 | × | 249 1000 | ) | = | 0 |
1869021 5000000 | × | 1 | − | 1869021 5000000 | x | − | 1869021 10000000 | x | ( | 1 | − | x | ) | + | ( | 2 | × | 61 2000 | ) | ( | 217 100 | − | x | ) | ( | 1 | − | x | ) | + | ( | 1 | × | 27 50 | ) | ( | 217 100 | − | x | ) | = | 0 |
1869021 5000000 | − | 1869021 5000000 | x | − | 1869021 10000000 | x | ( | 1 | − | x | ) | + | ( | 2 | × | 61 2000 | ) | ( | 217 100 | − | x | ) | ( | 1 | − | x | ) | + | ( | 1 | × | 27 50 | ) | ( | 217 100 | − | x | ) | ( | 2 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 359 50 | − | x | ) |
1869021 5000000 | ( | 359 50 | − | x | ) | − | 1869021 5000000 | x | ( | 359 50 | − | x | ) | − | 1869021 10000000 | x | ( | 1 | − | x | ) | ( | 359 50 | − | x | ) | + | ( | 2 | × | 61 2000 | ) | ( | 217 100 | − | x | ) | ( | 1 | − | x | ) | = | 0 |
1869021 5000000 | × | 359 50 | − | 1869021 5000000 | x | − | 1869021 5000000 | x | ( | 359 50 | − | x | ) | − | 1869021 10000000 | x | ( | 1 | − | x | ) | ( | 359 50 | − | x | ) | + | ( | 2 | × | 61 2000 | ) | = | 0 |
670978539 250000000 | − | 1869021 5000000 | x | − | 1869021 5000000 | x | ( | 359 50 | − | x | ) | − | 1869021 10000000 | x | ( | 1 | − | x | ) | ( | 359 50 | − | x | ) | + | ( | 2 | × | 61 2000 | ) | ( | 217 100 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 5 | − | x | ) |
670978539 250000000 | ( | 5 | − | x | ) | − | 1869021 5000000 | x | ( | 5 | − | x | ) | − | 1869021 5000000 | x | ( | 359 50 | − | x | ) | ( | 5 | − | x | ) | − | 1869021 10000000 | x | ( | 1 | − | x | ) | = | 0 |
670978539 250000000 | × | 5 | − | 670978539 250000000 | x | − | 1869021 5000000 | x | ( | 5 | − | x | ) | − | 1869021 5000000 | x | ( | 359 50 | − | x | ) | ( | 5 | − | x | ) | − | 1869021 10000000 | = | 0 |
670978539 50000000 | − | 670978539 250000000 | x | − | 1869021 5000000 | x | ( | 5 | − | x | ) | − | 1869021 5000000 | x | ( | 359 50 | − | x | ) | ( | 5 | − | x | ) | − | 1869021 10000000 | x | = | 0 |
| Multiply both sides of the equation by: | ( | 87 5 | − | x | ) |
670978539 50000000 | ( | 87 5 | − | x | ) | − | 670978539 250000000 | x | ( | 87 5 | − | x | ) | − | 1869021 5000000 | x | ( | 5 | − | x | ) | ( | 87 5 | − | x | ) | − | 1869021 5000000 | x | ( | 359 50 | − | x | ) | = | 0 |
670978539 50000000 | × | 87 5 | − | 670978539 50000000 | x | − | 670978539 250000000 | x | ( | 87 5 | − | x | ) | − | 1869021 5000000 | x | ( | 5 | − | x | ) | ( | 87 5 | − | x | ) | − | 1869021 5000000 | = | 0 |
The solution of the equation:
x1≈1.585799 , keep 6 decimal places
x2≈2.042158 , keep 6 decimal places
x3≈2.867017 , keep 6 decimal places
x4≈5.501954 , keep 6 decimal places
x5≈17.062058 , keep 6 decimal places
There are 5 solution(s).
解程的详细方法请参阅：《方程的解法》