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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-63.1618）/（x+2） = 0.4058 .
Question type: Equation
Solution:Original question:
| ( | x | − | 315809 5000 | ) | ÷ | ( | x | + | 2 | ) | = | 2029 5000 |
| Multiply both sides of the equation by: | ( | x | + | 2 | ) |
| ( | x | − | 315809 5000 | ) | = | 2029 5000 | ( | x | + | 2 | ) |
| x | − | 315809 5000 | = | 2029 5000 | ( | x | + | 2 | ) |
| x | − | 315809 5000 | = | 2029 5000 | x | + | 2029 5000 | × | 2 |
| x | − | 315809 5000 | = | 2029 5000 | x | + | 2029 2500 |
Transposition :
| x | − | 2029 5000 | x | = | 2029 2500 | + | 315809 5000 |
Combine the items on the left of the equation:
2971 5000 | x | = | 2029 2500 | + | 315809 5000 |
Combine the items on the right of the equation:
2971 5000 | x | = | 319867 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 319867 5000 | ÷ | 2971 5000 |
| = | 319867 5000 | × | 5000 2971 |
| = | 319867 | × | 1 2971 |
We obtained :
| x | = | 319867 2971 |
Convert the result to decimal form :
| x | = | 107.663076 |