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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/1.125/(x/1.125+(1-x)/1.59) = 0.682 .
Question type: Equation
Solution:Original question:
| x | ÷ | 9 8 | ÷ | ( | x | ÷ | 9 8 | + | ( | 1 | − | x | ) | ÷ | 159 100 | ) | = | 341 500 |
| Multiply both sides of the equation by: | ( | x | ÷ | 9 8 | + | ( | 1 | − | x | ) | ÷ | 159 100 | ) |
| x | ÷ | 9 8 | = | 341 500 | ( | x | ÷ | 9 8 | + | ( | 1 | − | x | ) | ÷ | 159 100 | ) |
| x | ÷ | 9 8 | = | 341 500 | x | ÷ | 9 8 | + | 341 500 | ( | 1 | − | x | ) | ÷ | 159 100 |
| x | × | 8 9 | = | 682 1125 | x | + | 341 795 | ( | 1 | − | x | ) |
8 9 | x | = | 682 1125 | x | + | 341 795 | × | 1 | − | 341 795 | x |
8 9 | x | = | 682 1125 | x | + | 341 795 | − | 341 795 | x |
8 9 | x | = | 10571 59625 | x | + | 341 795 |
Transposition :
8 9 | x | − | 10571 59625 | x | = | 341 795 |
Combine the items on the left of the equation:
14143 19875 | x | = | 341 795 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 341 795 | ÷ | 14143 19875 |
| = | 341 795 | × | 19875 14143 |
| = | 341 | × | 25 14143 |
We obtained :
| x | = | 8525 14143 |
Convert the result to decimal form :
| x | = | 0.602772 |