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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 (0.5-x)/1.5 = 0.1653*0.6069*x/(1+0.6069*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≈-1.842749 , keep 6 decimal places
x2≈-1.647718 , keep 6 decimal places
x3≈0.447081 , 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 (0.5-x)/1.5 = 0.1653*0.6069*x/(1+0.6069*x) .
Question type: Equation
Solution:Original question:
| ( | 1 2 | − | x | ) | ÷ | 3 2 | = | 1653 10000 | × | 6069 10000 | x | ÷ | ( | 1 | + | 6069 10000 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 6069 10000 | x | ) |
| ( | 1 2 | − | x | ) | ÷ | 3 2 | × | ( | 1 | + | 6069 10000 | x | ) | = | 1653 10000 | × | 6069 10000 | x |
1 2 | ÷ | 3 2 | × | ( | 1 | + | 6069 10000 | x | ) | − | x | ÷ | 3 2 | × | ( | 1 | + | 6069 10000 | x | ) | = | 1653 10000 | × | 6069 10000 | x |
1 3 | ( | 1 | + | 6069 10000 | x | ) | − | x | × | 2 3 | ( | 1 | + | 6069 10000 | x | ) | = | 10032057 100000000 | x |
1 3 | × | 1 | + | 1 3 | × | 6069 10000 | x | − | x | × | 2 3 | ( | 1 | + | 6069 10000 | x | ) | = | 10032057 100000000 | x |
1 3 | + | 2023 10000 | x | − | x | × | 2 3 | ( | 1 | + | 6069 10000 | x | ) | = | 10032057 100000000 | x |
1 3 | + | 2023 10000 | x | − | x | × | 2 3 | × | 1 | − | x | × | 2 3 | × | 6069 10000 | x | = | 10032057 100000000 | x |
1 3 | + | 2023 10000 | x | − | x | × | 2 3 | − | x | × | 2023 5000 | x | = | 10032057 100000000 | x |
1 3 | − | 13931 30000 | x | − | x | × | 2023 5000 | x | = | 10032057 100000000 | x |
The solution of the equation:
x1≈-1.842749 , keep 6 decimal places
x2≈-1.647718 , keep 6 decimal places
x3≈0.447081 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》