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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 x/(1353+2047+x) = 0.04911 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | 1353 | + | 2047 | + | x | ) | = | 4911 100000 |
| Multiply both sides of the equation by: | ( | 1353 | + | 2047 | + | x | ) |
| x | = | 4911 100000 | ( | 1353 | + | 2047 | + | x | ) |
| x | = | 4911 100000 | × | 1353 | + | 4911 100000 | × | 2047 | + | 4911 100000 | x |
| x | = | 6644583 100000 | + | 10052817 100000 | + | 4911 100000 | x |
| x | = | 83487 500 | + | 4911 100000 | x |
Transposition :
| x | − | 4911 100000 | x | = | 83487 500 |
Combine the items on the left of the equation:
95089 100000 | x | = | 83487 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 83487 500 | ÷ | 95089 100000 |
| = | 83487 500 | × | 100000 95089 |
| = | 83487 | × | 200 95089 |
We obtained :
| x | = | 16697400 95089 |
Convert the result to decimal form :
| x | = | 175.597598 |