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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 (75117.18-x)/1.13*0.13+x/1.09*0.09 = 8257.41 .
Question type: Equation
Solution:Original question:
| ( | 3755859 50 | − | x | ) | ÷ | 113 100 | × | 13 100 | + | x | ÷ | 109 100 | × | 9 100 | = | 825741 100 |
| Left side of the equation = | ( | 3755859 50 | − | x | ) | × | 13 113 | + | x | × | 9 109 |
| ( | 3755859 50 | − | x | ) | × | 13 113 | + | 9 109 | x | = | 825741 100 |
| Left side of the equation = | 3755859 50 | × | 13 113 | − | x | × | 13 113 | + | 9 109 | x |
| = | 48826167 5650 | − | x | × | 13 113 | + | 9 109 | x |
| = | 48826167 5650 | − | 400 12317 | x |
48826167 5650 | − | 400 12317 | x | = | 825741 100 |
Transposition :
| - | 400 12317 | x | = | 825741 100 | − | 48826167 5650 |
Combine the items on the right of the equation:
| - | 400 12317 | x | = | - | 4343601 11300 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4343601 11300 | = | 400 12317 | 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 :
400 12317 | x | = | 4343601 11300 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4343601 11300 | ÷ | 400 12317 |
| = | 4343601 11300 | × | 12317 400 |
We obtained :
| x | = | 53500133517 4520000 |