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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 (0.32-0.743x)/0.257 = 70.67x/(203.83-158.09x) .
Question type: Equation
Solution:Original question:
| ( | 8 25 | − | 743 1000 | x | ) | ÷ | 257 1000 | = | 7067 100 | x | ÷ | ( | 20383 100 | − | 15809 100 | x | ) |
| Multiply both sides of the equation by: | ( | 20383 100 | − | 15809 100 | x | ) |
| ( | 8 25 | − | 743 1000 | x | ) | ÷ | 257 1000 | × | ( | 20383 100 | − | 15809 100 | x | ) | = | 7067 100 | x |
8 25 | ÷ | 257 1000 | × | ( | 20383 100 | − | 15809 100 | x | ) | − | 743 1000 | x | ÷ | 257 1000 | × | ( | 20383 100 | − | 15809 100 | x | ) | = | 7067 100 | x |
320 257 | ( | 20383 100 | − | 15809 100 | x | ) | − | 743 257 | x | ( | 20383 100 | − | 15809 100 | x | ) | = | 7067 100 | x |
320 257 | × | 20383 100 | − | 320 257 | × | 15809 100 | x | − | 743 257 | x | ( | 20383 100 | − | 15809 100 | x | ) | = | 7067 100 | x |
326128 1285 | − | 252944 1285 | x | − | 743 257 | x | ( | 20383 100 | − | 15809 100 | x | ) | = | 7067 100 | x |
326128 1285 | − | 252944 1285 | x | − | 743 257 | x | × | 20383 100 | + | 743 257 | x | × | 15809 100 | x | = | 7067 100 | x |
326128 1285 | − | 252944 1285 | x | − | 15144569 25700 | x | + | 11746087 25700 | x | x | = | 7067 100 | x |
The solution of the equation:
x1≈0.368750 , keep 6 decimal places
x2≈1.289329 , keep 6 decimal places
x3≈1.505889 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》