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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 5/2.61*(0.95-x) = x-0.0748 .
Question type: Equation
Solution:Original question:
| 5 | ÷ | 261 100 | × | ( | 19 20 | − | x | ) | = | x | − | 187 2500 |
| Left side of the equation = | 500 261 | ( | 19 20 | − | x | ) |
500 261 | ( | 19 20 | − | x | ) | = | x | − | 187 2500 |
| Left side of the equation = | 500 261 | × | 19 20 | − | 500 261 | x |
| = | 475 261 | − | 500 261 | x |
475 261 | − | 500 261 | x | = | x | − | 187 2500 |
Transposition :
| - | 500 261 | x | − | x | = | - | 187 2500 | − | 475 261 |
Combine the items on the left of the equation:
| - | 761 261 | x | = | - | 187 2500 | − | 475 261 |
Combine the items on the right of the equation:
| - | 761 261 | x | = | - | 1236307 652500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1236307 652500 | = | 761 261 | 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 :
761 261 | x | = | 1236307 652500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1236307 652500 | ÷ | 761 261 |
| = | 1236307 652500 | × | 261 761 |
| = | 1236307 2500 | × | 1 761 |
We obtained :
| x | = | 1236307 1902500 |
Convert the result to decimal form :
| x | = | 0.649833 |