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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-(X-800)*0.2-X*0.01/1.03*1.06 = 1000 .
Question type: Equation
Solution:Original question:
| X | − | ( | X | − | 800 | ) | × | 1 5 | − | X | × | 1 100 | ÷ | 103 100 | × | 53 50 | = | 1000 |
| Left side of the equation = | X | − | ( | X | − | 800 | ) | × | 1 5 | − | X | × | 53 5150 |
| = | 5097 5150 | X | − | ( | X | − | 800 | ) | × | 1 5 |
5097 5150 | X | − | ( | X | − | 800 | ) | × | 1 5 | = | 1000 |
| Left side of the equation = | 5097 5150 | X | − | X | × | 1 5 | + | 800 | × | 1 5 |
| = | 5097 5150 | X | − | X | × | 1 5 | + | 160 |
| = | 4067 5150 | X | + | 160 |
4067 5150 | X | + | 160 | = | 1000 |
Transposition :
4067 5150 | X | = | 1000 | − | 160 |
Combine the items on the right of the equation:
4067 5150 | X | = | 840 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 840 | ÷ | 4067 5150 |
| = | 840 | × | 5150 4067 |
| = | 120 | × | 5150 581 |
We obtained :
| X | = | 618000 581 |
Convert the result to decimal form :
| X | = | 1063.683305 |