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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 2.493X/(1+1.493X) = 0.62 .
Question type: Equation
Solution:Original question:
2493 1000 | X | ÷ | ( | 1 | + | 1493 1000 | X | ) | = | 31 50 |
| Multiply both sides of the equation by: | ( | 1 | + | 1493 1000 | X | ) |
2493 1000 | X | = | 31 50 | ( | 1 | + | 1493 1000 | X | ) |
2493 1000 | X | = | 31 50 | × | 1 | + | 31 50 | × | 1493 1000 | X |
2493 1000 | X | = | 31 50 | + | 46283 50000 | X |
Transposition :
2493 1000 | X | − | 46283 50000 | X | = | 31 50 |
Combine the items on the left of the equation:
78367 50000 | X | = | 31 50 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 31 50 | ÷ | 78367 50000 |
| = | 31 50 | × | 50000 78367 |
| = | 31 | × | 1000 78367 |
We obtained :
| X | = | 31000 78367 |
Convert the result to decimal form :
| X | = | 0.395575 |