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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 （8300+x）÷2.92 = (3500+x)÷1.32 .
Question type: Equation
Solution:Original question:
| ( | 8300 | + | x | ) | ÷ | 73 25 | = | ( | 3500 | + | x | ) | ÷ | 33 25 |
| Left side of the equation = | 8300 | × | 25 73 | + | x | × | 25 73 |
| = | 207500 73 | + | x | × | 25 73 |
207500 73 | + | 25 73 | x | = | ( | 3500 | + | x | ) | ÷ | 33 25 |
| Right side of the equation = | 3500 | × | 25 33 | + | x | × | 25 33 |
| = | 87500 33 | + | x | × | 25 33 |
207500 73 | + | 25 73 | x | = | 87500 33 | + | 25 33 | x |
Transposition :
25 73 | x | − | 25 33 | x | = | 87500 33 | − | 207500 73 |
Combine the items on the left of the equation:
| - | 1000 2409 | x | = | 87500 33 | − | 207500 73 |
Combine the items on the right of the equation:
| - | 1000 2409 | x | = | - | 460000 2409 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
460000 2409 | = | 1000 2409 | 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 :
1000 2409 | x | = | 460000 2409 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 460000 2409 | ÷ | 1000 2409 |
| = | 460000 2409 | × | 2409 1000 |
| = | 460 | × | 1 |
We obtained :
| x | = | 460 |