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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 5.13 = 【37.1598×1.0188（X+0.1）】÷【1+1.0188×（X+0.1）】×【（100-15.51%-2.93）÷100】×【1÷（1+0.31×2.93）】+【8.33%×（X+0.1）】÷【（1.32×0.101325）】 .
Question type: Equation
Solution:Original question:
513 100 | = | ( | 185799 5000 | × | 2547 2500 | ( | X | + | 1 10 | ) | ) | ÷ | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) | × | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ÷ | ( | ( | 33 25 | × | 4053 40000 | ) | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
513 100 | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) | = | ( | 185799 5000 | × | 2547 2500 | ( | X | + | 1 10 | ) | ) | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ÷ | ( | ( | 33 25 | × | 4053 40000 | ) | ) | × | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
513 100 | × | 1 | + | 513 100 | × | 2547 2500 | ( | X | + | 1 10 | ) | = | ( | 185799 5000 | × | 2547 2500 | ( | X | + | 1 10 | ) | ) | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ÷ | ( | ( | 33 25 | × | 4053 40000 | ) | ) | × | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
513 100 | × | 1 | + | 513 100 | × | 2547 2500 | ( | X | + | 1 10 | ) | = | 185799 5000 | × | 2547 2500 | ( | X | + | 1 10 | ) | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ÷ | ( | ( | 33 25 | × | 4053 40000 | ) | ) | × | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
513 100 | + | 1306611 250000 | ( | X | + | 1 10 | ) | = | 473230053 12500000 | ( | X | + | 1 10 | ) | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ÷ | ( | ( | 33 25 | × | 4053 40000 | ) | ) | × | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
| Multiply both sides of the equation by: | ( | ( | 33 25 | × | 4053 40000 | ) | ) |
513 100 | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | 1306611 250000 | ( | X | + | 1 10 | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | = | 473230053 12500000 | ( | X | + | 1 10 | ) | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
513 100 | ( | 33 25 | × | 4053 40000 | ) | + | 1306611 250000 | ( | X | + | 1 10 | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | = | 473230053 12500000 | ( | X | + | 1 10 | ) | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
513 100 | ( | 33 25 | × | 4053 40000 | ) | + | 1306611 250000 | ( | X | + | 1 10 | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | = | 473230053 12500000 | X | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | 473230053 12500000 | × | 1 10 | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
513 100 | ( | 33 25 | × | 4053 40000 | ) | + | 1306611 250000 | ( | X | + | 1 10 | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | = | 473230053 12500000 | X | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | 473230053 125000000 | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
513 100 | × | 33 25 | × | 4053 40000 | + | 1306611 250000 | ( | X | + | 1 10 | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | = | 473230053 12500000 | X | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | 473230053 125000000 | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
513 100 | × | 33 25 | × | 4053 40000 | + | 1306611 250000 | ( | X | + | 1 10 | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | = | 473230053 12500000 | X | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | × | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | 473230053 125000000 | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
68613237 100000000 | + | 1306611 250000 | ( | X | + | 1 10 | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | = | 473230053 1250000000 | X | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | 473230053 125000000 | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
68613237 100000000 | + | 1306611 250000 | X | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | 1306611 250000 | × | 1 10 | ( | ( | 33 25 | × | 4053 40000 | ) | ) | = | 473230053 1250000000 | X | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | 473230053 125000000 | ( | ( | 100 | − | 1551 10000 | − | 293 100 | ) | ÷ | 100 | ) | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | ( | 833 10000 | ( | X | + | 1 10 | ) | ) | ( | 1 | + | 2547 2500 | ( | X | + | 1 10 | ) | ) |
68613237 100000000 | + | 1306611 250000 | X | ( | ( | 33 25 | × | 4053 40000 | ) | ) | + | 1306611 250000 | × | 1 10 | ( | ( | 33 25 | × | 4053 40000 | ) | ) | = | 473230053 1250000000 | X | × | 100 | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | − | 473230053 1250000000 | X | × | 1551 10000 | ( | 1 | ÷ | ( | 1 | + | 31 100 | × | 293 100 | ) | ) | ( | ( | 33 25 | × | 4053 40000 | ) | ) | − | 473230053 1250000000 | X |
The solution of the equation:
X1≈-1.081547 , keep 6 decimal places
X2≈0.266420 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》