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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 (97/(97+x))-(40/(40+x)) = 0.1471-0.0705 .
Question type: Equation
Solution:Original question:
| ( | 97 | ÷ | ( | 97 | + | x | ) | ) | − | ( | 40 | ÷ | ( | 40 | + | x | ) | ) | = | 1471 10000 | − | 141 2000 |
| 97 | ÷ | ( | 97 | + | x | ) | − | ( | 40 | ÷ | ( | 40 | + | x | ) | ) | = | 1471 10000 | − | 141 2000 |
| 97 | ÷ | ( | 97 | + | x | ) | − | ( | 40 | ÷ | ( | 40 | + | x | ) | ) | = | 383 5000 |
| Multiply both sides of the equation by: | ( | 97 | + | x | ) |
| 97 | − | ( | 40 | ÷ | ( | 40 | + | x | ) | ) | ( | 97 | + | x | ) | = | 383 5000 | ( | 97 | + | x | ) |
| 97 | − | 40 | ÷ | ( | 40 | + | x | ) | × | ( | 97 | + | x | ) | = | 383 5000 | ( | 97 | + | x | ) |
| 97 | − | 40 | ÷ | ( | 40 | + | x | ) | × | ( | 97 | + | x | ) | = | 383 5000 | × | 97 | + | 383 5000 | x |
| 97 | − | 40 | ÷ | ( | 40 | + | x | ) | × | ( | 97 | + | x | ) | = | 37151 5000 | + | 383 5000 | x |
| Multiply both sides of the equation by: | ( | 40 | + | x | ) |
| 97 | ( | 40 | + | x | ) | − | 40 | ( | 97 | + | x | ) | = | 37151 5000 | ( | 40 | + | x | ) | + | 383 5000 | x | ( | 40 | + | x | ) |
| 97 | × | 40 | + | 97 | x | − | 40 | ( | 97 | + | x | ) | = | 37151 5000 | ( | 40 | + | x | ) | + | 383 5000 | x | ( | 40 | + | x | ) |
| 97 | × | 40 | + | 97 | x | − | 40 | ( | 97 | + | x | ) | = | 37151 5000 | × | 40 | + | 37151 5000 | x | + | 383 5000 | x | ( | 40 | + | x | ) |
| 3880 | + | 97 | x | − | 40 | ( | 97 | + | x | ) | = | 37151 125 | + | 37151 5000 | x | + | 383 5000 | x | ( | 40 | + | x | ) |
| 3880 | + | 97 | x | − | 40 | × | 97 | − | 40 | x | = | 37151 125 | + | 37151 5000 | x | + | 383 5000 | x | ( | 40 | + | x | ) |
| 3880 | + | 97 | x | − | 40 | × | 97 | − | 40 | x | = | 37151 125 | + | 37151 5000 | x | + | 383 5000 | x | × | 40 | + | 383 5000 | x | x |
| 3880 | + | 97 | x | − | 3880 | − | 40 | x | = | 37151 125 | + | 37151 5000 | x | + | 383 125 | x | + | 383 5000 | x | x |
| 0 | + | 57 | x | = | 37151 125 | + | 52471 5000 | x | + | 383 5000 | x | x |
x≈6.459498 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》