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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 0.1x/（0.01-0.1x） = -0.6197 .
Question type: Equation
Solution:Original question:
1 10 | x | ÷ | ( | 1 100 | − | 1 10 | x | ) | = | - | 6197 10000 |
| Multiply both sides of the equation by: | ( | 1 100 | − | 1 10 | x | ) |
1 10 | x | = | - | 6197 10000 | ( | 1 100 | − | 1 10 | x | ) |
1 10 | x | = | - | 6197 10000 | × | 1 100 | + | 6197 10000 | × | 1 10 | x |
1 10 | x | = | - | 6197 1000000 | + | 6197 100000 | x |
Transposition :
1 10 | x | − | 6197 100000 | x | = | - | 6197 1000000 |
Combine the items on the left of the equation:
3803 100000 | x | = | - | 6197 1000000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 6197 1000000 | ÷ | 3803 100000 |
| = | - | 6197 1000000 | × | 100000 3803 |
| = | - | 6197 10 | × | 1 3803 |
We obtained :
| x | = | - | 6197 38030 |
Convert the result to decimal form :
| x | = | - 0.16295 |