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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 (422203.11+1.12x)/1.13*0.13 = 47809.31+x .
Question type: Equation
Solution:Original question:
| ( | 42220311 100 | + | 28 25 | x | ) | ÷ | 113 100 | × | 13 100 | = | 4780931 100 | + | x |
| Left side of the equation = | ( | 42220311 100 | + | 28 25 | x | ) | × | 13 113 |
| ( | 42220311 100 | + | 28 25 | x | ) | × | 13 113 | = | 4780931 100 | + | x |
| Left side of the equation = | 42220311 100 | × | 13 113 | + | 28 25 | x | × | 13 113 |
| = | 548864043 11300 | + | 364 2825 | x |
548864043 11300 | + | 364 2825 | x | = | 4780931 100 | + | x |
Transposition :
364 2825 | x | − | x | = | 4780931 100 | − | 548864043 11300 |
Combine the items on the left of the equation:
| - | 2461 2825 | x | = | 4780931 100 | − | 548864043 11300 |
Combine the items on the right of the equation:
| - | 2461 2825 | x | = | - | 430942 565 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
430942 565 | = | 2461 2825 | 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 :
2461 2825 | x | = | 430942 565 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 430942 565 | ÷ | 2461 2825 |
| = | 430942 565 | × | 2825 2461 |
| = | 430942 113 | × | 565 2461 |
We obtained :
| x | = | 243482230 278093 |
By reducing fraction, we can get:
| x | = | 2154710 2461 |
Convert the result to decimal form :
| x | = | 875.542462 |