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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 0.5212 = 2.497*x/(1+1.497*x) .
Question type: Equation
Solution:Original question:
1303 2500 | = | 2497 1000 | x | ÷ | ( | 1 | + | 1497 1000 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 1497 1000 | x | ) |
1303 2500 | ( | 1 | + | 1497 1000 | x | ) | = | 2497 1000 | x |
1303 2500 | × | 1 | + | 1303 2500 | × | 1497 1000 | x | = | 2497 1000 | x |
1303 2500 | + | 1950591 2500000 | x | = | 2497 1000 | x |
Transposition :
1950591 2500000 | x | − | 2497 1000 | x | = | - | 1303 2500 |
Combine the items on the left of the equation:
| - | 4291909 2500000 | x | = | - | 1303 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1303 2500 | = | 4291909 2500000 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
4291909 2500000 | x | = | 1303 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1303 2500 | ÷ | 4291909 2500000 |
| = | 1303 2500 | × | 2500000 4291909 |
| = | 1303 | × | 1000 4291909 |
We obtained :
| x | = | 1303000 4291909 |
Convert the result to decimal form :
| x | = | 0.303595 |