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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/1.06*0.06+(250-x)/1.13*0.13 = 206.42201 .
Question type: Equation
Solution:Original question:
| x | ÷ | 53 50 | × | 3 50 | + | ( | 250 | − | x | ) | ÷ | 113 100 | × | 13 100 | = | 20642201 100000 |
| Left side of the equation = | x | × | 3 53 | + | ( | 250 | − | x | ) | × | 13 113 |
3 53 | x | + | ( | 250 | − | x | ) | × | 13 113 | = | 20642201 100000 |
| Left side of the equation = | 3 53 | x | + | 250 | × | 13 113 | − | x | × | 13 113 |
| = | 3 53 | x | + | 3250 113 | − | x | × | 13 113 |
| = | - | 350 5989 | x | + | 3250 113 |
| - | 350 5989 | x | + | 3250 113 | = | 20642201 100000 |
Transposition :
| - | 350 5989 | x | = | 20642201 100000 | − | 3250 113 |
Combine the items on the right of the equation:
| - | 350 5989 | x | = | 2007568713 11300000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 2007568713 11300000 | = | 350 5989 | 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 :
350 5989 | x | = | - | 2007568713 11300000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 2007568713 11300000 | ÷ | 350 5989 |
| = | - | 2007568713 11300000 | × | 5989 350 |
We obtained :
| x | = | - | 12023329022157 3955000000 |