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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 (5-x)/2 = 0.1537*0.5725*x/(1+0.5725*x) .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
The solution of the equation:
x1≈-1.829057 , keep 6 decimal places
x2≈-1.746725 , keep 6 decimal places
x3≈4.774932 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (5-x)/2 = 0.1537*0.5725*x/(1+0.5725*x) .
Question type: Equation
Solution:Original question:
| ( | 5 | − | x | ) | ÷ | 2 | = | 1537 10000 | × | 229 400 | x | ÷ | ( | 1 | + | 229 400 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 229 400 | x | ) |
| ( | 5 | − | x | ) | ÷ | 2 | × | ( | 1 | + | 229 400 | x | ) | = | 1537 10000 | × | 229 400 | x |
| 5 | ÷ | 2 | × | ( | 1 | + | 229 400 | x | ) | − | x | ÷ | 2 | × | ( | 1 | + | 229 400 | x | ) | = | 1537 10000 | × | 229 400 | x |
5 2 | ( | 1 | + | 229 400 | x | ) | − | x | × | 1 2 | ( | 1 | + | 229 400 | x | ) | = | 351973 4000000 | x |
5 2 | × | 1 | + | 5 2 | × | 229 400 | x | − | x | × | 1 2 | ( | 1 | + | 229 400 | x | ) | = | 351973 4000000 | x |
5 2 | + | 229 160 | x | − | x | × | 1 2 | ( | 1 | + | 229 400 | x | ) | = | 351973 4000000 | x |
5 2 | + | 229 160 | x | − | x | × | 1 2 | × | 1 | − | x | × | 1 2 | × | 229 400 | x | = | 351973 4000000 | x |
5 2 | + | 229 160 | x | − | x | × | 1 2 | − | x | × | 229 800 | x | = | 351973 4000000 | x |
5 2 | + | 149 160 | x | − | x | × | 229 800 | x | = | 351973 4000000 | x |
The solution of the equation:
x1≈-1.829057 , keep 6 decimal places
x2≈-1.746725 , keep 6 decimal places
x3≈4.774932 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》