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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 0.5475÷(10.95-x)+0.9065÷(2.59-x)+0.15÷(1-x)+0.1768÷(0.884-x)+0.0422÷（0.422-x）+0.0444÷（0.296-x） = 0 .
Question type: Equation
Solution:Original question:
219 400 | ÷ | ( | 219 20 | − | x | ) | + | 1813 2000 | ÷ | ( | 259 100 | − | x | ) | + | 3 20 | ÷ | ( | 1 | − | x | ) | + | 221 1250 | ÷ | ( | 221 250 | − | x | ) | + | 211 5000 | ÷ | ( | 211 500 | − | x | ) | + | 111 2500 | ÷ | ( | 37 125 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 219 20 | − | x | ) |
219 400 | + | 1813 2000 | ÷ | ( | 259 100 | − | x | ) | × | ( | 219 20 | − | x | ) | + | 3 20 | ÷ | ( | 1 | − | x | ) | × | ( | 219 20 | − | x | ) | + | 221 1250 | ÷ | ( | 221 250 | − | x | ) | × | ( | 219 20 | − | x | ) | + | 211 5000 | ÷ | ( | 211 500 | − | x | ) | = | 0 |
219 400 | + | 1813 2000 | ÷ | ( | 259 100 | − | x | ) | × | 219 20 | − | 1813 2000 | ÷ | ( | 259 100 | − | x | ) | × | x | + | 3 20 | ÷ | ( | 1 | − | x | ) | × | ( | 219 20 | − | x | ) | + | 221 1250 | ÷ | ( | 221 250 | − | x | ) | = | 0 |
219 400 | + | 397047 40000 | ÷ | ( | 259 100 | − | x | ) | − | 1813 2000 | ÷ | ( | 259 100 | − | x | ) | × | x | + | 3 20 | ÷ | ( | 1 | − | x | ) | × | ( | 219 20 | − | x | ) | + | 221 1250 | ÷ | ( | 221 250 | − | x | ) | × | ( | 219 20 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 259 100 | − | x | ) |
219 400 | ( | 259 100 | − | x | ) | + | 397047 40000 | − | 1813 2000 | x | + | 3 20 | ÷ | ( | 1 | − | x | ) | × | ( | 219 20 | − | x | ) | ( | 259 100 | − | x | ) | + | 221 1250 | ÷ | ( | 221 250 | − | x | ) | × | ( | 219 20 | − | x | ) | = | 0 |
219 400 | × | 259 100 | − | 219 400 | x | + | 397047 40000 | − | 1813 2000 | x | + | 3 20 | ÷ | ( | 1 | − | x | ) | × | ( | 219 20 | − | x | ) | ( | 259 100 | − | x | ) | + | 221 1250 | = | 0 |
56721 40000 | − | 219 400 | x | + | 397047 40000 | − | 1813 2000 | x | + | 3 20 | ÷ | ( | 1 | − | x | ) | × | ( | 219 20 | − | x | ) | ( | 259 100 | − | x | ) | + | 221 1250 | ÷ | ( | 221 250 | − | x | ) | = | 0 |
56721 5000 | − | 727 500 | x | + | 3 20 | ÷ | ( | 1 | − | x | ) | × | ( | 219 20 | − | x | ) | ( | 259 100 | − | x | ) | + | 221 1250 | ÷ | ( | 221 250 | − | x | ) | × | ( | 219 20 | − | x | ) | ( | 259 100 | − | x | ) | + | 211 5000 | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | x | ) |
56721 5000 | ( | 1 | − | x | ) | − | 727 500 | x | ( | 1 | − | x | ) | + | 3 20 | ( | 219 20 | − | x | ) | ( | 259 100 | − | x | ) | + | 221 1250 | ÷ | ( | 221 250 | − | x | ) | × | ( | 219 20 | − | x | ) | ( | 259 100 | − | x | ) | = | 0 |
56721 5000 | × | 1 | − | 56721 5000 | x | − | 727 500 | x | ( | 1 | − | x | ) | + | 3 20 | ( | 219 20 | − | x | ) | ( | 259 100 | − | x | ) | + | 221 1250 | ÷ | ( | 221 250 | − | x | ) | = | 0 |
56721 5000 | − | 56721 5000 | x | − | 727 500 | x | ( | 1 | − | x | ) | + | 3 20 | ( | 219 20 | − | x | ) | ( | 259 100 | − | x | ) | + | 221 1250 | ÷ | ( | 221 250 | − | x | ) | × | ( | 219 20 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 221 250 | − | x | ) |
56721 5000 | ( | 221 250 | − | x | ) | − | 56721 5000 | x | ( | 221 250 | − | x | ) | − | 727 500 | x | ( | 1 | − | x | ) | ( | 221 250 | − | x | ) | + | 3 20 | ( | 219 20 | − | x | ) | ( | 259 100 | − | x | ) | = | 0 |
56721 5000 | × | 221 250 | − | 56721 5000 | x | − | 56721 5000 | x | ( | 221 250 | − | x | ) | − | 727 500 | x | ( | 1 | − | x | ) | ( | 221 250 | − | x | ) | + | 3 20 | = | 0 |
12535341 1250000 | − | 56721 5000 | x | − | 56721 5000 | x | ( | 221 250 | − | x | ) | − | 727 500 | x | ( | 1 | − | x | ) | ( | 221 250 | − | x | ) | + | 3 20 | ( | 219 20 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 211 500 | − | x | ) |
12535341 1250000 | ( | 211 500 | − | x | ) | − | 56721 5000 | x | ( | 211 500 | − | x | ) | − | 56721 5000 | x | ( | 221 250 | − | x | ) | ( | 211 500 | − | x | ) | − | 727 500 | x | ( | 1 | − | x | ) | = | 0 |
12535341 1250000 | × | 211 500 | − | 12535341 1250000 | x | − | 56721 5000 | x | ( | 211 500 | − | x | ) | − | 56721 5000 | x | ( | 221 250 | − | x | ) | ( | 211 500 | − | x | ) | − | 727 500 | = | 0 |
2644956951 625000000 | − | 12535341 1250000 | x | − | 56721 5000 | x | ( | 211 500 | − | x | ) | − | 56721 5000 | x | ( | 221 250 | − | x | ) | ( | 211 500 | − | x | ) | − | 727 500 | x | = | 0 |
| Multiply both sides of the equation by: | ( | 37 125 | − | x | ) |
2644956951 625000000 | ( | 37 125 | − | x | ) | − | 12535341 1250000 | x | ( | 37 125 | − | x | ) | − | 56721 5000 | x | ( | 211 500 | − | x | ) | ( | 37 125 | − | x | ) | − | 56721 5000 | x | ( | 221 250 | − | x | ) | = | 0 |
2644956951 625000000 | × | 37 125 | − | 2644956951 625000000 | x | − | 12535341 1250000 | x | ( | 37 125 | − | x | ) | − | 56721 5000 | x | ( | 211 500 | − | x | ) | ( | 37 125 | − | x | ) | − | 56721 5000 | = | 0 |
The solution of the equation:
x1≈0.942074 , keep 6 decimal places
x2≈1.392311 , keep 6 decimal places
x3≈8.364880 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》