Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 （477.1-420.8/x）(0.966-0.05/x)+144-286.1/x = 0 .
Question type: Equation
Solution:Original question:
| ( | 4771 10 | − | 2104 5 | ÷ | x | ) | ( | 483 500 | − | 1 20 | ÷ | x | ) | + | 144 | − | 2861 10 | ÷ | x | = | 0 |
| Multiply both sides of the equation by: | x |
| ( | 4771 10 | − | 2104 5 | ÷ | x | ) | ( | 483 500 | − | 1 20 | ÷ | x | ) | x | + | 144 | x | − | 2861 10 | = | 0 |
4771 10 | ( | 483 500 | − | 1 20 | ÷ | x | ) | x | − | 2104 5 | ÷ | x | × | ( | 483 500 | − | 1 20 | ÷ | x | ) | x | + | 144 | x | − | 2861 10 | = | 0 |
4771 10 | × | 483 500 | x | − | 4771 10 | × | 1 20 | ÷ | x | × | x | − | 2104 5 | ÷ | 1 | × | ( | 483 500 | − | 1 20 | ÷ | x | ) | × | 1 | + | 144 | = | 0 |
2304393 5000 | x | − | 4771 200 | ÷ | x | × | x | − | 2104 5 | ( | 483 500 | − | 1 20 | ÷ | x | ) | + | 144 | x | − | 2861 10 | = | 0 |
3024393 5000 | x | − | 4771 200 | ÷ | x | × | x | − | 2104 5 | ( | 483 500 | − | 1 20 | ÷ | x | ) | − | 2861 10 | = | 0 |
3024393 5000 | x | − | 4771 200 | ÷ | 1 | × | 1 | − | 2104 5 | × | 483 500 | + | 2104 5 | × | 1 20 | ÷ | x | − | 2861 10 | = | 0 |
3024393 5000 | x | − | 4771 200 | − | 254058 625 | + | 526 25 | ÷ | x | − | 2861 10 | = | 0 |
3024393 5000 | x | − | 3582239 5000 | + | 526 25 | ÷ | x | = | 0 |
| Multiply both sides of the equation by: | x |
3024393 5000 | x | x | − | 3582239 5000 | x | + | 526 25 | = | 0 |
The solution of the equation:
x1≈0.030134 , keep 6 decimal places
x2≈1.154315 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》