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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 0.6702*260+（x-260）*0.7202 = 0.7072x .
Question type: Equation
Solution:Original question:
3351 5000 | × | 260 | + | ( | x | − | 260 | ) | × | 3601 5000 | = | 442 625 | x |
| Left side of the equation = | 43563 250 | + | ( | x | − | 260 | ) | × | 3601 5000 |
43563 250 | + | ( | x | − | 260 | ) | × | 3601 5000 | = | 442 625 | x |
| Left side of the equation = | 43563 250 | + | x | × | 3601 5000 | − | 260 | × | 3601 5000 |
| = | 43563 250 | + | x | × | 3601 5000 | − | 46813 250 |
| = | - | 13 | + | 3601 5000 | x |
| - | 13 | + | 3601 5000 | x | = | 442 625 | x |
Transposition :
3601 5000 | x | − | 442 625 | x | = | 13 |
Combine the items on the left of the equation:
13 1000 | x | = | 13 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 13 | ÷ | 13 1000 |
| = | 13 | × | 1000 13 |
| = | 1 | × | 1000 |
We obtained :
| x | = | 1000 |