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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 100x/(1-x) = 50.48505715 .
Question type: Equation
Solution:Original question:
Remove a bracket on the right of the equation:：
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 100x/(1-x) = 50.48505715 .
Question type: Equation
Solution:Original question:
| 100 | x | ÷ | ( | 1 | − | x | ) | = | 1009701143 20000000 |
| Multiply both sides of the equation by: | ( | 1 | − | x | ) |
| 100 | x | = | 1009701143 20000000 | ( | 1 | − | x | ) |
| 100 | x | = | 1009701143 20000000 | × | 1 | − | 1009701143 20000000 | x |
| 100 | x | = | 1009701143 20000000 | − | 1009701143 20000000 | x |
Transposition :
| 100 | x | + | 1009701143 20000000 | x | = | 1009701143 20000000 |
Combine the items on the left of the equation:
3009701143 20000000 | x | = | 1009701143 20000000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1009701143 20000000 | ÷ | 3009701143 20000000 |
| = | 1009701143 20000000 | × | 20000000 3009701143 |
| = | 1009701143 | × | 1 3009701143 |
We obtained :
| x | = | 1009701143 3009701143 |
Convert the result to decimal form :
| x | = | 0.335482 |