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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 (0.03*2.068+1*x)/(2.068+x)-0.05 = 0 .
Question type: Equation
Solution:Original question:
| ( | 3 100 | × | 517 250 | + | 1 | x | ) | ÷ | ( | 517 250 | + | x | ) | − | 1 20 | = | 0 |
| Multiply both sides of the equation by: | ( | 517 250 | + | x | ) |
| ( | 3 100 | × | 517 250 | + | 1 | x | ) | − | 1 20 | ( | 517 250 | + | x | ) | = | 0 |
3 100 | × | 517 250 | + | 1 | x | − | 1 20 | ( | 517 250 | + | x | ) | = | 0 |
1551 25000 | + | 1 | x | − | 1 20 | ( | 517 250 | + | x | ) | = | 0 |
1551 25000 | + | 1 | x | − | 1 20 | × | 517 250 | − | 1 20 | x | = | 0 |
1551 25000 | + | 1 | x | − | 517 5000 | − | 1 20 | x | = | 0 |
| - | 517 12500 | + | 19 20 | x | = | 0 |
Transposition :
19 20 | x | = | 0 | + | 517 12500 |
Combine the items on the right of the equation:
19 20 | x | = | 517 12500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 517 12500 | ÷ | 19 20 |
| = | 517 12500 | × | 20 19 |
| = | 517 625 | × | 1 19 |
We obtained :
| x | = | 517 11875 |
Convert the result to decimal form :
| x | = | 0.043537 |