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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+1000) = 0.000857 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | x | + | 1000 | ) | = | 857 1000000 |
| Multiply both sides of the equation by: | ( | x | + | 1000 | ) |
| x | = | 857 1000000 | ( | x | + | 1000 | ) |
| x | = | 857 1000000 | x | + | 857 1000000 | × | 1000 |
| x | = | 857 1000000 | x | + | 857 1000 |
Transposition :
| x | − | 857 1000000 | x | = | 857 1000 |
Combine the items on the left of the equation:
999143 1000000 | x | = | 857 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 857 1000 | ÷ | 999143 1000000 |
| = | 857 1000 | × | 1000000 999143 |
| = | 857 | × | 1000 999143 |
We obtained :
| x | = | 857000 999143 |
Convert the result to decimal form :
| x | = | 0.857735 |