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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 34.56*（1.315-x） = 5.44*（x-1.306） .
Question type: Equation
Solution:Original question:
864 25 | ( | 263 200 | − | x | ) | = | 136 25 | ( | x | − | 653 500 | ) |
| Left side of the equation = | 864 25 | × | 263 200 | − | 864 25 | x |
| = | 28404 625 | − | 864 25 | x |
28404 625 | − | 864 25 | x | = | 136 25 | ( | x | − | 653 500 | ) |
| Right side of the equation = | 136 25 | x | − | 136 25 | × | 653 500 |
| = | 136 25 | x | − | 22202 3125 |
28404 625 | − | 864 25 | x | = | 136 25 | x | − | 22202 3125 |
Transposition :
| - | 864 25 | x | − | 136 25 | x | = | - | 22202 3125 | − | 28404 625 |
Combine the items on the left of the equation:
| - | 40 | x | = | - | 22202 3125 | − | 28404 625 |
Combine the items on the right of the equation:
| - | 40 | x | = | - | 164222 3125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
164222 3125 | = | 40 | 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 :
| 40 | x | = | 164222 3125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 164222 3125 | ÷ | 40 |
| = | 164222 3125 | × | 1 40 |
| = | 82111 3125 | × | 1 20 |
We obtained :
| x | = | 82111 62500 |
Convert the result to decimal form :
| x | = | 1.313776 |