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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 131.34045/(424.05*x+1)+3.2875/(64.75*x+1)+1.2222/(18.4*x+1)+0.3288/(5.85*x+1)+0.11271/(1.89*x+1)+0.07398/(0.37*x+1)+0.031464/(-0.28*x+1) = 1 .
Question type: Equation
Solution:Original question:
2626809 20000 | ÷ | ( | 8481 20 | x | + | 1 | ) | + | 263 80 | ÷ | ( | 259 4 | x | + | 1 | ) | + | 6111 5000 | ÷ | ( | 92 5 | x | + | 1 | ) | + | 411 1250 | ÷ | ( | 117 20 | x | + | 1 | ) | + | 11271 100000 | ÷ | ( | 189 100 | x | + | 1 | ) | + | 3699 50000 | ÷ | ( | 37 100 | x | + | 1 | ) | = | 1 |
| Multiply both sides of the equation by: | ( | 8481 20 | x | + | 1 | ) |
2626809 20000 | + | 263 80 | ÷ | ( | 259 4 | x | + | 1 | ) | × | ( | 8481 20 | x | + | 1 | ) | + | 6111 5000 | ÷ | ( | 92 5 | x | + | 1 | ) | × | ( | 8481 20 | x | + | 1 | ) | + | 411 1250 | ÷ | ( | 117 20 | x | + | 1 | ) | × | ( | 8481 20 | x | + | 1 | ) | + | 11271 100000 | ÷ | ( | 189 100 | x | + | 1 | ) | = | 1 | ( | 8481 20 | x | + | 1 | ) |
2626809 20000 | + | 263 80 | ÷ | ( | 259 4 | x | + | 1 | ) | × | 8481 20 | x | + | 263 80 | ÷ | ( | 259 4 | x | + | 1 | ) | × | 1 | + | 6111 5000 | ÷ | ( | 92 5 | x | + | 1 | ) | × | ( | 8481 20 | x | + | 1 | ) | + | 411 1250 | = | 1 | ( | 8481 20 | x | + | 1 | ) |
2626809 20000 | + | 263 80 | ÷ | ( | 259 4 | x | + | 1 | ) | × | 8481 20 | x | + | 263 80 | ÷ | ( | 259 4 | x | + | 1 | ) | × | 1 | + | 6111 5000 | ÷ | ( | 92 5 | x | + | 1 | ) | × | ( | 8481 20 | x | + | 1 | ) | + | 411 1250 | = | 1 | × | 8481 20 | x | + | 1 | × | 1 |
2626809 20000 | + | 2230503 1600 | ÷ | ( | 259 4 | x | + | 1 | ) | × | x | + | 263 80 | ÷ | ( | 259 4 | x | + | 1 | ) | + | 6111 5000 | ÷ | ( | 92 5 | x | + | 1 | ) | × | ( | 8481 20 | x | + | 1 | ) | + | 411 1250 | ÷ | ( | 117 20 | x | + | 1 | ) | × | ( | 8481 20 | x | + | 1 | ) | = | 8481 20 | x | + | 1 |
| Multiply both sides of the equation by: | ( | 259 4 | x | + | 1 | ) |
2626809 20000 | ( | 259 4 | x | + | 1 | ) | + | 2230503 1600 | x | + | 263 80 | + | 6111 5000 | ÷ | ( | 92 5 | x | + | 1 | ) | × | ( | 8481 20 | x | + | 1 | ) | ( | 259 4 | x | + | 1 | ) | + | 411 1250 | ÷ | ( | 117 20 | x | + | 1 | ) | × | ( | 8481 20 | x | + | 1 | ) | = | 8481 20 | x | ( | 259 4 | x | + | 1 | ) | + | 1 | ( | 259 4 | x | + | 1 | ) |
2626809 20000 | × | 259 4 | x | + | 2626809 20000 | × | 1 | + | 2230503 1600 | x | + | 263 80 | + | 6111 5000 | ÷ | ( | 92 5 | x | + | 1 | ) | × | ( | 8481 20 | x | + | 1 | ) | ( | 259 4 | x | + | 1 | ) | = | 8481 20 | x | ( | 259 4 | x | + | 1 | ) | + | 1 | ( | 259 4 | x | + | 1 | ) |
2626809 20000 | × | 259 4 | x | + | 2626809 20000 | × | 1 | + | 2230503 1600 | x | + | 263 80 | + | 6111 5000 | ÷ | ( | 92 5 | x | + | 1 | ) | × | ( | 8481 20 | x | + | 1 | ) | ( | 259 4 | x | + | 1 | ) | = | 8481 20 | x | × | 259 4 | x | + | 8481 20 | x | × | 1 | + | 1 | ( | 259 4 | x | + | 1 | ) |
680343531 80000 | x | + | 2626809 20000 | + | 2230503 1600 | x | + | 263 80 | + | 6111 5000 | ÷ | ( | 92 5 | x | + | 1 | ) | × | ( | 8481 20 | x | + | 1 | ) | ( | 259 4 | x | + | 1 | ) | + | 411 1250 | ÷ | ( | 117 20 | x | + | 1 | ) | = | 2196579 80 | x | x | + | 8481 20 | x | + | 1 | ( | 259 4 | x | + | 1 | ) |
The solution of the equation:
x1≈-2.536659 , keep 6 decimal places
x2≈-0.002358 , keep 6 decimal places
x3≈0.545002 , keep 6 decimal places
x4≈3.433184 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》