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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/87-2/44.7-(98-X)/333 = 0.73 .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | 2 | ÷ | 447 10 | − | ( | 98 | − | X | ) | ÷ | 333 | = | 73 100 |
| Left side of the equation = | X | × | 1 87 | − | 20 447 | − | ( | 98 | − | X | ) | × | 1 333 |
1 87 | X | − | 20 447 | − | ( | 98 | − | X | ) | × | 1 333 | = | 73 100 |
| Left side of the equation = | 1 87 | X | − | 20 447 | − | 98 | × | 1 333 | + | X | × | 1 333 |
| = | 1 87 | X | − | 20 447 | − | 98 333 | + | X | × | 1 333 |
| = | 140 9657 | X | − | 16822 49617 |
140 9657 | X | − | 16822 49617 | = | 73 100 |
Transposition :
140 9657 | X | = | 73 100 | + | 16822 49617 |
Combine the items on the right of the equation:
140 9657 | X | = | 5304241 4961700 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 5304241 4961700 | ÷ | 140 9657 |
| = | 5304241 4961700 | × | 9657 140 |
| = | 5304241 551300 | × | 1073 140 |
We obtained :
| X | = | 5691450593 77182000 |
By reducing fraction, we can get:
| X | = | 153822989 2086000 |
Convert the result to decimal form :
| X | = | 73.740647 |