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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+1500) = 0.016667 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | x | + | 1500 | ) | = | 16667 1000000 |
| Multiply both sides of the equation by: | ( | x | + | 1500 | ) |
| x | = | 16667 1000000 | ( | x | + | 1500 | ) |
| x | = | 16667 1000000 | x | + | 16667 1000000 | × | 1500 |
| x | = | 16667 1000000 | x | + | 50001 2000 |
Transposition :
| x | − | 16667 1000000 | x | = | 50001 2000 |
Combine the items on the left of the equation:
983333 1000000 | x | = | 50001 2000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 50001 2000 | ÷ | 983333 1000000 |
| = | 50001 2000 | × | 1000000 983333 |
| = | 50001 | × | 500 983333 |
We obtained :
| x | = | 25000500 983333 |
Convert the result to decimal form :
| x | = | 25.424246 |