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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 1.13x/0.13+1.03(51791.83-x)/0.03 = 447257.08 .
Question type: Equation
Solution:Original question:
113 100 | x | ÷ | 13 100 | + | 103 100 | ( | 5179183 100 | − | x | ) | ÷ | 3 100 | = | 11181427 25 |
| Left side of the equation = | 113 13 | x | + | 103 3 | ( | 5179183 100 | − | x | ) |
113 13 | x | + | 103 3 | ( | 5179183 100 | − | x | ) | = | 11181427 25 |
| Left side of the equation = | 113 13 | x | + | 103 3 | × | 5179183 100 | − | 103 3 | x |
| = | 113 13 | x | + | 533455849 300 | − | 103 3 | x |
| = | - | 1000 39 | x | + | 533455849 300 |
| - | 1000 39 | x | + | 533455849 300 | = | 11181427 25 |
Transposition :
| - | 1000 39 | x | = | 11181427 25 | − | 533455849 300 |
Combine the items on the right of the equation:
| - | 1000 39 | x | = | - | 15971149 12 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
15971149 12 | = | 1000 39 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
1000 39 | x | = | 15971149 12 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 15971149 12 | ÷ | 1000 39 |
| = | 15971149 12 | × | 39 1000 |
| = | 15971149 4 | × | 13 1000 |
We obtained :
| x | = | 207624937 4000 |
Convert the result to decimal form :
| x | = | 51906.23425 |