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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 X/87-（90-X）/1000-2/44.7-3/45 = 0.238 .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | ( | 90 | − | X | ) | ÷ | 1000 | − | 2 | ÷ | 447 10 | − | 3 | ÷ | 45 | = | 119 500 |
| Left side of the equation = | X | × | 1 87 | − | ( | 90 | − | X | ) | × | 1 1000 | − | 20 447 | − | 1 15 |
| = | 1 87 | X | − | ( | 90 | − | X | ) | × | 1 1000 | − | 83 745 |
1 87 | X | − | ( | 90 | − | X | ) | × | 1 1000 | − | 83 745 | = | 119 500 |
| Left side of the equation = | 1 87 | X | − | 90 | × | 1 1000 | + | X | × | 1 1000 | − | 83 745 |
| = | 1 87 | X | − | 9 100 | + | X | × | 1 1000 | − | 83 745 |
| = | 1087 87000 | X | − | 3001 14900 |
1087 87000 | X | − | 3001 14900 | = | 119 500 |
Transposition :
1087 87000 | X | = | 119 500 | + | 3001 14900 |
Combine the items on the right of the equation:
1087 87000 | X | = | 8184 18625 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 8184 18625 | ÷ | 1087 87000 |
| = | 8184 18625 | × | 87000 1087 |
| = | 8184 149 | × | 696 1087 |
We obtained :
| X | = | 5696064 161963 |
Convert the result to decimal form :
| X | = | 35.168921 |