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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-(x-5000-407.84)*0.03-407.84 = 7754.1 .
Question type: Equation
Solution:Original question:
| x | − | ( | x | − | 5000 | − | 10196 25 | ) | × | 3 100 | − | 10196 25 | = | 77541 10 |
| Left side of the equation = | x | − | x | × | 3 100 | + | 5000 | × | 3 100 | + | 10196 25 | × | 3 100 | − | 10196 25 |
| = | x | − | x | × | 3 100 | + | 150 | + | 7647 625 | − | 10196 25 |
| = | 97 100 | x | − | 153503 625 |
97 100 | x | − | 153503 625 | = | 77541 10 |
Transposition :
97 100 | x | = | 77541 10 | + | 153503 625 |
Combine the items on the right of the equation:
97 100 | x | = | 9999631 1250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9999631 1250 | ÷ | 97 100 |
| = | 9999631 1250 | × | 100 97 |
| = | 9999631 25 | × | 2 97 |
We obtained :
| x | = | 19999262 2425 |
Convert the result to decimal form :
| x | = | 8247.118351 |