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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-(75-X)/2000-5/44.7-5/45 = 0.21 .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | ( | 75 | − | X | ) | ÷ | 2000 | − | 5 | ÷ | 447 10 | − | 5 | ÷ | 45 | = | 21 100 |
| Left side of the equation = | X | × | 1 87 | − | ( | 75 | − | X | ) | × | 1 2000 | − | 50 447 | − | 1 9 |
| = | 1 87 | X | − | ( | 75 | − | X | ) | × | 1 2000 | − | 299 1341 |
1 87 | X | − | ( | 75 | − | X | ) | × | 1 2000 | − | 299 1341 | = | 21 100 |
| Left side of the equation = | 1 87 | X | − | 75 | × | 1 2000 | + | X | × | 1 2000 | − | 299 1341 |
| = | 1 87 | X | − | 3 80 | + | X | × | 1 2000 | − | 299 1341 |
| = | 2087 174000 | X | − | 27943 107280 |
2087 174000 | X | − | 27943 107280 | = | 21 100 |
Transposition :
2087 174000 | X | = | 21 100 | + | 27943 107280 |
Combine the items on the right of the equation:
2087 174000 | X | = | 252359 536400 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 252359 536400 | ÷ | 2087 174000 |
| = | 252359 536400 | × | 174000 2087 |
| = | 252359 447 | × | 145 2087 |
We obtained :
| X | = | 36592055 932889 |
Convert the result to decimal form :
| X | = | 39.224447 |