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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/0.09+(71925.83-x)/0.13 = 597402.67 .
Question type: Equation
Solution:Original question:
| x | ÷ | 9 100 | + | ( | 7192583 100 | − | x | ) | ÷ | 13 100 | = | 59740267 100 |
| Left side of the equation = | 100 9 | x | + | 7192583 100 | × | 100 13 | − | x | × | 100 13 |
| = | 100 9 | x | + | 7192583 13 | − | x | × | 100 13 |
| = | 400 117 | x | + | 7192583 13 |
400 117 | x | + | 7192583 13 | = | 59740267 100 |
Transposition :
400 117 | x | = | 59740267 100 | − | 7192583 13 |
Combine the items on the right of the equation:
400 117 | x | = | 57365171 1300 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 57365171 1300 | ÷ | 400 117 |
| = | 57365171 1300 | × | 117 400 |
We obtained :
| x | = | 6711725007 520000 |
By reducing fraction, we can get:
| x | = | 516286539 40000 |
Convert the result to decimal form :
| x | = | 12907.163475 |