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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 9(1-0.0432)(x-55.3)/(2x+55.3)+0.0432((x-20)/x+4(x-20)/(x+20)) = 0 .
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 :
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 :
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 solution of the equation:
x1≈-20.160293 , keep 6 decimal places
x2≈-0.098309 , keep 6 decimal places
x3≈53.315768 , 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 9(1-0.0432)(x-55.3)/(2x+55.3)+0.0432((x-20)/x+4(x-20)/(x+20)) = 0 .
Question type: Equation
Solution:Original question:
| 9 | ( | 1 | − | 27 625 | ) | ( | x | − | 553 10 | ) | ÷ | ( | 2 | x | + | 553 10 | ) | + | 27 625 | ( | ( | x | − | 20 | ) | ÷ | x | + | 4 | ( | x | − | 20 | ) | ÷ | ( | x | + | 20 | ) | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 2 | x | + | 553 10 | ) |
| 9 | ( | 1 | − | 27 625 | ) | ( | x | − | 553 10 | ) | + | 27 625 | ( | ( | x | − | 20 | ) | ÷ | x | + | 4 | ( | x | − | 20 | ) | ÷ | ( | x | + | 20 | ) | ) | ( | 2 | x | + | 553 10 | ) | = | 0 |
| 9 | × | 1 | ( | x | − | 553 10 | ) | − | 9 | × | 27 625 | ( | x | − | 553 10 | ) | + | 27 625 | ( | ( | x | − | 20 | ) | ÷ | x | + | 4 | ( | x | − | 20 | ) | ÷ | ( | x | + | 20 | ) | ) | ( | 2 | x | + | 553 10 | ) | = | 0 |
| 9 | ( | x | − | 553 10 | ) | − | 243 625 | ( | x | − | 553 10 | ) | + | 27 625 | ( | ( | x | − | 20 | ) | ÷ | x | + | 4 | ( | x | − | 20 | ) | ÷ | ( | x | + | 20 | ) | ) | ( | 2 | x | + | 553 10 | ) | = | 0 |
| 9 | x | − | 9 | × | 553 10 | − | 243 625 | ( | x | − | 553 10 | ) | + | 27 625 | ( | ( | x | − | 20 | ) | ÷ | x | + | 4 | ( | x | − | 20 | ) | ÷ | ( | x | + | 20 | ) | ) | ( | 2 | x | + | 553 10 | ) | = | 0 |
| 9 | x | − | 4977 10 | − | 243 625 | ( | x | − | 553 10 | ) | + | 27 625 | ( | ( | x | − | 20 | ) | ÷ | x | + | 4 | ( | x | − | 20 | ) | ÷ | ( | x | + | 20 | ) | ) | ( | 2 | x | + | 553 10 | ) | = | 0 |
| 9 | x | − | 4977 10 | − | 243 625 | x | + | 243 625 | × | 553 10 | + | 27 625 | ( | ( | x | − | 20 | ) | ÷ | x | + | 4 | ( | x | − | 20 | ) | ÷ | ( | x | + | 20 | ) | ) | ( | 2 | x | + | 553 10 | ) | = | 0 |
| 9 | x | − | 4977 10 | − | 243 625 | x | + | 134379 6250 | + | 27 625 | ( | ( | x | − | 20 | ) | ÷ | x | + | 4 | ( | x | − | 20 | ) | ÷ | ( | x | + | 20 | ) | ) | ( | 2 | x | + | 553 10 | ) | = | 0 |
5382 625 | x | − | 1488123 3125 | + | 27 625 | ( | ( | x | − | 20 | ) | ÷ | x | + | 4 | ( | x | − | 20 | ) | ÷ | ( | x | + | 20 | ) | ) | ( | 2 | x | + | 553 10 | ) | = | 0 |
5382 625 | x | − | 1488123 3125 | + | 27 625 | ( | x | − | 20 | ) | ÷ | x | × | ( | 2 | x | + | 553 10 | ) | + | 27 625 | × | 4 | ( | x | − | 20 | ) | ÷ | ( | x | + | 20 | ) | × | ( | 2 | x | + | 553 10 | ) | = | 0 |
5382 625 | x | − | 1488123 3125 | + | 27 625 | ( | x | − | 20 | ) | ÷ | x | × | ( | 2 | x | + | 553 10 | ) | + | 108 625 | ( | x | − | 20 | ) | ÷ | ( | x | + | 20 | ) | × | ( | 2 | x | + | 553 10 | ) | = | 0 |
| Multiply both sides of the equation by: | x |
5382 625 | x | x | − | 1488123 3125 | x | + | 27 625 | ( | x | − | 20 | ) | ( | 2 | x | + | 553 10 | ) | + | 108 625 | ( | x | − | 20 | ) | ÷ | ( | x | + | 20 | ) | × | ( | 2 | x | + | 553 10 | ) | = | 0 |
5382 625 | x | x | − | 1488123 3125 | x | + | 27 625 | x | ( | 2 | x | + | 553 10 | ) | − | 27 625 | × | 20 | ( | 2 | x | + | 553 10 | ) | + | 108 625 | = | 0 |
5382 625 | x | x | − | 1488123 3125 | x | + | 27 625 | x | ( | 2 | x | + | 553 10 | ) | − | 108 125 | ( | 2 | x | + | 553 10 | ) | + | 108 625 | ( | x | − | 20 | ) | = | 0 |
| Multiply both sides of the equation by: | ( | x | + | 20 | ) |
5382 625 | x | x | ( | x | + | 20 | ) | − | 1488123 3125 | x | ( | x | + | 20 | ) | + | 27 625 | x | ( | 2 | x | + | 553 10 | ) | ( | x | + | 20 | ) | − | 108 125 | = | 0 |
5382 625 | x | x | x | + | 5382 625 | x | x | × | 20 | − | 1488123 3125 | x | ( | x | + | 20 | ) | + | 27 625 | = | 0 |
5382 625 | x | x | x | + | 21528 125 | x | x | − | 1488123 3125 | x | ( | x | + | 20 | ) | + | 27 625 | x | = | 0 |
5382 625 | x | x | x | + | 21528 125 | x | x | − | 1488123 3125 | x | x | − | 1488123 3125 | x | = | 0 |
5382 625 | x | x | x | + | 21528 125 | x | x | − | 1488123 3125 | x | x | − | 5952492 625 | x | = | 0 |
5382 625 | x | x | x | + | 21528 125 | x | x | − | 1488123 3125 | x | x | − | 5952492 625 | x | = | 0 |
5382 625 | x | x | x | + | 21528 125 | x | x | − | 1488123 3125 | x | x | − | 5952492 625 | x | = | 0 |
5382 625 | x | x | x | + | 21528 125 | x | x | − | 1488123 3125 | x | x | − | 5952492 625 | x | = | 0 |
5382 625 | x | x | x | + | 21528 125 | x | x | − | 1488123 3125 | x | x | − | 5952492 625 | x | = | 0 |
The solution of the equation:
x1≈-20.160293 , keep 6 decimal places
x2≈-0.098309 , keep 6 decimal places
x3≈53.315768 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》