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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 440/(500-x)*(x*x-x*x*x/30/(500-x))-10400*(500-x)/27-45680*(460-x)/(500-x) = 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 :
Remove a bracket on the left of the equation:
The equation is reduced to :
Remove a bracket on the left of the equation:
the solutions is:
x=266, it is the incremental root of the eqution.
There are 1 solution(s).
There is(are) 1 additive root(s) and 0 real solutions.(Note:additive root, generated by computer, but not suitable for this equation.)
解方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 440/(500-x)*(x*x-x*x*x/30/(500-x))-10400*(500-x)/27-45680*(460-x)/(500-x) = 0 .
Question type: Equation
Solution:Original question:
| 440 | ÷ | ( | 500 | − | x | ) | × | ( | x | x | − | x | x | x | ÷ | 30 | ÷ | ( | 500 | − | x | ) | ) | − | 10400 | ( | 500 | − | x | ) | ÷ | 27 | − | 45680 | ( | 460 | − | x | ) | ÷ | ( | 500 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 500 | − | x | ) |
| 440 | ( | x | x | − | x | x | x | ÷ | 30 | ÷ | ( | 500 | − | x | ) | ) | − | 10400 | ( | 500 | − | x | ) | ÷ | 27 | × | ( | 500 | − | x | ) | − | 45680 | ( | 460 | − | x | ) | = | 0 |
| 440 | x | x | − | 440 | x | x | x | ÷ | 30 | ÷ | ( | 500 | − | x | ) | − | 10400 | ( | 500 | − | x | ) | ÷ | 27 | = | 0 |
| 440 | x | x | − | 44 3 | x | x | x | ÷ | ( | 500 | − | x | ) | − | 10400 27 | ( | 500 | − | x | ) | ( | 500 | − | x | ) | − | 45680 | = | 0 |
| Multiply both sides of the equation by: | ( | 500 | − | x | ) |
| 440 | x | x | ( | 500 | − | x | ) | − | 44 3 | x | x | x | − | 10400 27 | ( | 500 | − | x | ) | ( | 500 | − | x | ) | ( | 500 | − | x | ) | = | 0 |
| 440 | x | x | × | 500 | − | 440 | x | x | x | − | 44 3 | x | x | x | = | 0 |
| 220000 | x | x | − | 440 | x | x | x | − | 44 3 | x | x | x | − | 10400 27 | = | 0 |
| 220000 | x | x | − | 440 | x | x | x | − | 44 3 | x | x | x | − | 10400 27 | = | 0 |
| 220000 | x | x | − | 440 | x | x | x | − | 44 3 | x | x | x | − | 5200000 27 | = | 0 |
| 220000 | x | x | − | 440 | x | x | x | − | 44 3 | x | x | x | − | 5200000 27 | = | 0 |
| 220000 | x | x | − | 440 | x | x | x | − | 44 3 | x | x | x | − | 2600000000 27 | = | 0 |
| 220000 | x | x | − | 440 | x | x | x | − | 44 3 | x | x | x | − | 2600000000 27 | = | 0 |
the solutions is:
x=266, it is the incremental root of the eqution.
There are 1 solution(s).
There is(are) 1 additive root(s) and 0 real solutions.(Note:additive root, generated by computer, but not suitable for this equation.)
解方程的详细方法请参阅：《方程的解法》