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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/6760 = (1-x)/114100 .
Question type: Equation
Solution:Original question:
| x | ÷ | 6760 | = | ( | 1 | − | x | ) | ÷ | 114100 |
| Right side of the equation = | 1 | × | 1 114100 | − | x | × | 1 114100 |
| = | 1 114100 | − | x | × | 1 114100 |
1 6760 | x | = | 1 114100 | − | 1 114100 | x |
Transposition :
1 6760 | x | + | 1 114100 | x | = | 1 114100 |
Combine the items on the left of the equation:
6043 38565800 | x | = | 1 114100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1 114100 | ÷ | 6043 38565800 |
| = | 1 114100 | × | 38565800 6043 |
| = | 1 163 | × | 55094 6043 |
We obtained :
| x | = | 55094 985009 |
By reducing fraction, we can get:
| x | = | 338 6043 |
Convert the result to decimal form :
| x | = | 0.055932 |