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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-5）×（0.6065-0.0182x） = （10-x）×（0.0166x-0.3495） .
Question type: Equation
Solution:Original question:
| ( | x | − | 5 | ) | ( | 1213 2000 | − | 91 5000 | x | ) | = | ( | 10 | − | x | ) | ( | 83 5000 | x | − | 699 2000 | ) |
| Left side of the equation = | x | ( | 1213 2000 | − | 91 5000 | x | ) | − | 5 | ( | 1213 2000 | − | 91 5000 | x | ) |
| = | x | × | 1213 2000 | − | x | × | 91 5000 | x | − | 5 | ( | 1213 2000 | − | 91 5000 | x | ) |
| = | 1213 2000 | x | − | x | × | 91 5000 | x | − | 5 | × | 1213 2000 | + | 5 | × | 91 5000 | x |
| = | 1213 2000 | x | − | x | × | 91 5000 | x | − | 1213 400 | + | 91 1000 | x |
| = | 279 400 | x | − | x | × | 91 5000 | x | − | 1213 400 |
279 400 | x | − | x | × | 91 5000 | x | − | 1213 400 | = | ( | 10 | − | x | ) | ( | 83 5000 | x | − | 699 2000 | ) |
| Right side of the equation = | 10 | ( | 83 5000 | x | − | 699 2000 | ) | − | x | ( | 83 5000 | x | − | 699 2000 | ) |
| = | 10 | × | 83 5000 | x | − | 10 | × | 699 2000 | − | x | ( | 83 5000 | x | − | 699 2000 | ) |
| = | 83 500 | x | − | 699 200 | − | x | ( | 83 5000 | x | − | 699 2000 | ) |
| = | 83 500 | x | − | 699 200 | − | x | × | 83 5000 | x | + | x | × | 699 2000 |
| = | 1031 2000 | x | − | 699 200 | − | x | × | 83 5000 | x |
279 400 | x | − | x | × | 91 5000 | x | − | 1213 400 | = | 1031 2000 | x | − | 699 200 | − | x | × | 83 5000 | x |
The solution of the equation:
x1≈-2.486841 , keep 6 decimal places
x2≈116.236841 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》