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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 45.43x/（x+45.43） = 17.9 .
Question type: Equation
Solution:Original question:
4543 100 | x | ÷ | ( | x | + | 4543 100 | ) | = | 179 10 |
| Multiply both sides of the equation by: | ( | x | + | 4543 100 | ) |
4543 100 | x | = | 179 10 | ( | x | + | 4543 100 | ) |
4543 100 | x | = | 179 10 | x | + | 179 10 | × | 4543 100 |
4543 100 | x | = | 179 10 | x | + | 813197 1000 |
Transposition :
4543 100 | x | − | 179 10 | x | = | 813197 1000 |
Combine the items on the left of the equation:
2753 100 | x | = | 813197 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 813197 1000 | ÷ | 2753 100 |
| = | 813197 1000 | × | 100 2753 |
| = | 813197 10 | × | 1 2753 |
We obtained :
| x | = | 813197 27530 |
Convert the result to decimal form :
| x | = | 29.538576 |