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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 3.07x = 3.07（0.01-x） .
Question type: Equation
Solution:Original question:
307 100 | x | = | 307 100 | ( | 1 100 | − | x | ) |
| Right side of the equation = | 307 100 | × | 1 100 | − | 307 100 | x |
| = | 307 10000 | − | 307 100 | x |
307 100 | x | = | 307 10000 | − | 307 100 | x |
Transposition :
307 100 | x | + | 307 100 | x | = | 307 10000 |
Combine the items on the left of the equation:
307 50 | x | = | 307 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 307 10000 | ÷ | 307 50 |
| = | 307 10000 | × | 50 307 |
| = | 307 200 | × | 1 307 |
We obtained :
| x | = | 307 61400 |
By reducing fraction, we can get:
| x | = | 1 200 |
Convert the result to decimal form :
| x | = | 0.005 |