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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 392000／9800+1.019×1.019／2×9.8 = x/9800+2.293×2.293／2×9.8 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 392000／9800+1.019×1.019／2×9.8 = x/9800+2.293×2.293／2×9.8 .
Question type: Equation
Solution:Original question:
| 392000 | ÷ | 9800 | + | 1019 1000 | × | 1019 1000 | ÷ | 2 | × | 49 5 | = | x | ÷ | 9800 | + | 2293 1000 | × | 2293 1000 | ÷ | 2 | × | 49 5 |
| Left side of the equation = | 40 | + | 50879689 10000000 |
| = | 450879689 10000000 |
450879689 10000000 | = | x | ÷ | 9800 | + | 2293 1000 | × | 2293 1000 | ÷ | 2 | × | 49 5 |
| Right side of the equation = | x | × | 1 9800 | + | 257634601 10000000 |
450879689 10000000 | = | 1 9800 | x | + | 257634601 10000000 |
Transposition :
| - | 1 9800 | x | = | 257634601 10000000 | − | 450879689 10000000 |
Combine the items on the right of the equation:
| - | 1 9800 | x | = | - | 6038909 312500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
6038909 312500 | = | 1 9800 | 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 :
1 9800 | x | = | 6038909 312500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6038909 312500 | ÷ | 1 9800 |
| = | 6038909 312500 | × | 9800 |
| = | 6038909 3125 | × | 98 |
We obtained :
| x | = | 591813082 3125 |
Convert the result to decimal form :
| x | = | 189380.18624 |