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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+(21.96-x)/0.13 = 200.54 .
Question type: Equation
Solution:Original question:
| x | ÷ | 9 100 | + | ( | 549 25 | − | x | ) | ÷ | 13 100 | = | 10027 50 |
| Left side of the equation = | 100 9 | x | + | 549 25 | × | 100 13 | − | x | × | 100 13 |
| = | 100 9 | x | + | 2196 13 | − | x | × | 100 13 |
| = | 400 117 | x | + | 2196 13 |
400 117 | x | + | 2196 13 | = | 10027 50 |
Transposition :
400 117 | x | = | 10027 50 | − | 2196 13 |
Combine the items on the right of the equation:
400 117 | x | = | 20551 650 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 20551 650 | ÷ | 400 117 |
| = | 20551 650 | × | 117 400 |
We obtained :
| x | = | 2404467 260000 |
By reducing fraction, we can get:
| x | = | 184959 20000 |
Convert the result to decimal form :
| x | = | 9.24795 |