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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 18.722*(2.5-x) = 5.086x .
Question type: Equation
Solution:Original question:
9361 500 | ( | 5 2 | − | x | ) | = | 2543 500 | x |
| Left side of the equation = | 9361 500 | × | 5 2 | − | 9361 500 | x |
| = | 9361 200 | − | 9361 500 | x |
9361 200 | − | 9361 500 | x | = | 2543 500 | x |
Transposition :
| - | 9361 500 | x | − | 2543 500 | x | = | - | 9361 200 |
Combine the items on the left of the equation:
| - | 2976 125 | x | = | - | 9361 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9361 200 | = | 2976 125 | 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 :
2976 125 | x | = | 9361 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9361 200 | ÷ | 2976 125 |
| = | 9361 200 | × | 125 2976 |
| = | 9361 8 | × | 5 2976 |
We obtained :
| x | = | 46805 23808 |
Convert the result to decimal form :
| x | = | 1.965936 |