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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 （1.11-x）/（1.1136-x） = （1.11+x）/（1.1149+x） .
Question type: Equation
Solution:Original question:
| ( | 111 100 | − | x | ) | ÷ | ( | 696 625 | − | x | ) | = | ( | 111 100 | + | x | ) | ÷ | ( | 11149 10000 | + | x | ) |
| Multiply both sides of the equation by: | ( | 696 625 | − | x | ) | , | ( | 11149 10000 | + | x | ) |
| ( | 111 100 | − | x | ) | ( | 11149 10000 | + | x | ) | = | ( | 111 100 | + | x | ) | ( | 696 625 | − | x | ) |
111 100 | ( | 11149 10000 | + | x | ) | − | x | ( | 11149 10000 | + | x | ) | = | ( | 111 100 | + | x | ) | ( | 696 625 | − | x | ) |
111 100 | ( | 11149 10000 | + | x | ) | − | x | ( | 11149 10000 | + | x | ) | = | 111 100 | ( | 696 625 | − | x | ) | + | x | ( | 696 625 | − | x | ) |
111 100 | × | 11149 10000 | + | 111 100 | x | − | x | ( | 11149 10000 | + | x | ) | = | 111 100 | ( | 696 625 | − | x | ) | + | x | ( | 696 625 | − | x | ) |
111 100 | × | 11149 10000 | + | 111 100 | x | − | x | ( | 11149 10000 | + | x | ) | = | 111 100 | × | 696 625 | − | 111 100 | x | + | x | ( | 696 625 | − | x | ) |
1237539 1000000 | + | 111 100 | x | − | x | ( | 11149 10000 | + | x | ) | = | 19314 15625 | − | 111 100 | x | + | x | ( | 696 625 | − | x | ) |
1237539 1000000 | + | 111 100 | x | − | x | × | 11149 10000 | − | x | x | = | 19314 15625 | − | 111 100 | x | + | x | ( | 696 625 | − | x | ) |
1237539 1000000 | + | 111 100 | x | − | x | × | 11149 10000 | − | x | x | = | 19314 15625 | − | 111 100 | x | + | x | × | 696 625 | − | x | x |
1237539 1000000 | − | 49 10000 | x | − | x | x | = | 19314 15625 | + | 9 2500 | x | − | x | x |
x≈0.169765 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》