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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 (68582.85+X)/(228855.72+68582.85+X) = 0.5 .
Question type: Equation
Solution:Original question:
| ( | 1371657 20 | + | X | ) | ÷ | ( | 5721393 25 | + | 1371657 20 | + | X | ) | = | 1 2 |
| Multiply both sides of the equation by: | ( | 5721393 25 | + | 1371657 20 | + | X | ) |
| ( | 1371657 20 | + | X | ) | = | 1 2 | ( | 5721393 25 | + | 1371657 20 | + | X | ) |
1371657 20 | + | X | = | 1 2 | ( | 5721393 25 | + | 1371657 20 | + | X | ) |
1371657 20 | + | X | = | 1 2 | × | 5721393 25 | + | 1 2 | × | 1371657 20 | + | 1 2 | X |
1371657 20 | + | X | = | 5721393 50 | + | 1371657 40 | + | 1 2 | X |
1371657 20 | + | X | = | 29743857 200 | + | 1 2 | X |
Transposition :
| X | − | 1 2 | X | = | 29743857 200 | − | 1371657 20 |
Combine the items on the left of the equation:
1 2 | X | = | 29743857 200 | − | 1371657 20 |
Combine the items on the right of the equation:
1 2 | X | = | 16027287 200 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 16027287 200 | ÷ | 1 2 |
| = | 16027287 200 | × | 2 |
| = | 16027287 100 | × | 1 |
We obtained :
| X | = | 16027287 100 |
Convert the result to decimal form :
| X | = | 160272.87 |