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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 （47.03*0.9-x）*0.77-x = 0.5*47.03 .
Question type: Equation
Solution:Original question:
| ( | 4703 100 | × | 9 10 | − | x | ) | × | 77 100 | − | x | = | 1 2 | × | 4703 100 |
| Left side of the equation = | 4703 100 | × | 9 10 | × | 77 100 | − | x | × | 77 100 | − | x |
| = | 3259179 100000 | − | x | × | 77 100 | − | x |
| = | 3259179 100000 | − | 177 100 | x |
3259179 100000 | − | 177 100 | x | = | 1 2 | × | 4703 100 |
| Right side of the equation = | 4703 200 |
3259179 100000 | − | 177 100 | x | = | 4703 200 |
Transposition :
| - | 177 100 | x | = | 4703 200 | − | 3259179 100000 |
Combine the items on the right of the equation:
| - | 177 100 | x | = | - | 907679 100000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
907679 100000 | = | 177 100 | 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 :
177 100 | x | = | 907679 100000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 907679 100000 | ÷ | 177 100 |
| = | 907679 100000 | × | 100 177 |
| = | 907679 1000 | × | 1 177 |
We obtained :
| x | = | 907679 177000 |
Convert the result to decimal form :
| x | = | 5.12813 |