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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) = 80.48505715 .
Question type: Equation
Solution:Original question:
| 100 | x | ÷ | ( | 1 | − | x | ) | = | 1609701143 20000000 |
| Multiply both sides of the equation by: | ( | 1 | − | x | ) |
| 100 | x | = | 1609701143 20000000 | ( | 1 | − | x | ) |
| 100 | x | = | 1609701143 20000000 | × | 1 | − | 1609701143 20000000 | x |
| 100 | x | = | 1609701143 20000000 | − | 1609701143 20000000 | x |
Transposition :
| 100 | x | + | 1609701143 20000000 | x | = | 1609701143 20000000 |
Combine the items on the left of the equation:
3609701143 20000000 | x | = | 1609701143 20000000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1609701143 20000000 | ÷ | 3609701143 20000000 |
| = | 1609701143 20000000 | × | 20000000 3609701143 |
| = | 1609701143 | × | 1 3609701143 |
We obtained :
| x | = | 1609701143 3609701143 |
Convert the result to decimal form :
| x | = | 0.445938 |