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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 (106*0.519+x)/(106+x) = 0.6 .
Question type: Equation
Solution:Original question:
| ( | 106 | × | 519 1000 | + | x | ) | ÷ | ( | 106 | + | x | ) | = | 3 5 |
| Multiply both sides of the equation by: | ( | 106 | + | x | ) |
| ( | 106 | × | 519 1000 | + | x | ) | = | 3 5 | ( | 106 | + | x | ) |
| 106 | × | 519 1000 | + | x | = | 3 5 | ( | 106 | + | x | ) |
| 106 | × | 519 1000 | + | x | = | 3 5 | × | 106 | + | 3 5 | x |
27507 500 | + | x | = | 318 5 | + | 3 5 | x |
Transposition :
| x | − | 3 5 | x | = | 318 5 | − | 27507 500 |
Combine the items on the left of the equation:
2 5 | x | = | 318 5 | − | 27507 500 |
Combine the items on the right of the equation:
2 5 | x | = | 4293 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4293 500 | ÷ | 2 5 |
| = | 4293 500 | × | 5 2 |
| = | 4293 100 | × | 1 2 |
We obtained :
| x | = | 4293 200 |
Convert the result to decimal form :
| x | = | 21.465 |