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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 0.75x+0.1964 = 24.58098x-2.57504 .
Question type: Equation
Solution:Original question:
3 4 | x | + | 491 2500 | = | 1229049 50000 | x | − | 8047 3125 |
Transposition :
3 4 | x | − | 1229049 50000 | x | = | - | 8047 3125 | − | 491 2500 |
Combine the items on the left of the equation:
| - | 1191549 50000 | x | = | - | 8047 3125 | − | 491 2500 |
Combine the items on the right of the equation:
| - | 1191549 50000 | x | = | - | 34643 12500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
34643 12500 | = | 1191549 50000 | 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 :
1191549 50000 | x | = | 34643 12500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 34643 12500 | ÷ | 1191549 50000 |
| = | 34643 12500 | × | 50000 1191549 |
| = | 34643 | × | 4 1191549 |
We obtained :
| x | = | 138572 1191549 |
Convert the result to decimal form :
| x | = | 0.116296 |