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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÷（6-x） = 113.7÷183.3 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | 6 | − | x | ) | = | 1137 10 | ÷ | 1833 10 |
| Multiply both sides of the equation by: | ( | 6 | − | x | ) |
| x | = | 1137 10 | ÷ | 1833 10 | × | ( | 6 | − | x | ) |
| x | = | 1137 10 | ÷ | 1833 10 | × | 6 | − | 1137 10 | ÷ | 1833 10 | × | x |
| x | = | 2274 611 | − | 379 611 | x |
Transposition :
| x | + | 379 611 | x | = | 2274 611 |
Combine the items on the left of the equation:
990 611 | x | = | 2274 611 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2274 611 | ÷ | 990 611 |
| = | 2274 611 | × | 611 990 |
| = | 379 | × | 1 165 |
We obtained :
| x | = | 379 165 |
Convert the result to decimal form :
| x | = | 2.29697 |