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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 123*x/(123+100*x) = 0.7075 .
Question type: Equation
Solution:Original question:
| 123 | x | ÷ | ( | 123 | + | 100 | x | ) | = | 283 400 |
| Multiply both sides of the equation by: | ( | 123 | + | 100 | x | ) |
| 123 | x | = | 283 400 | ( | 123 | + | 100 | x | ) |
| 123 | x | = | 283 400 | × | 123 | + | 283 400 | × | 100 | x |
| 123 | x | = | 34809 400 | + | 283 4 | x |
Transposition :
| 123 | x | − | 283 4 | x | = | 34809 400 |
Combine the items on the left of the equation:
209 4 | x | = | 34809 400 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 34809 400 | ÷ | 209 4 |
| = | 34809 400 | × | 4 209 |
| = | 34809 100 | × | 1 209 |
We obtained :
| x | = | 34809 20900 |
Convert the result to decimal form :
| x | = | 1.665502 |