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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 110 = x/2000+50x+0.01 .
Question type: Equation
Solution:Original question:
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 110 = x/2000+50x+0.01 .
Question type: Equation
Solution:Original question:
| 110 | = | x | ÷ | 2000 | + | 50 | x | + | 1 100 |
| Right side of the equation = | 100001 2000 | x | + | 1 100 |
| 110 | = | 100001 2000 | x | + | 1 100 |
Transposition :
| - | 100001 2000 | x | = | 1 100 | − | 110 |
Combine the items on the right of the equation:
| - | 100001 2000 | x | = | - | 10999 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
10999 100 | = | 100001 2000 | 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 :
100001 2000 | x | = | 10999 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 10999 100 | ÷ | 100001 2000 |
| = | 10999 100 | × | 2000 100001 |
| = | 10999 | × | 20 100001 |
We obtained :
| x | = | 219980 100001 |
Convert the result to decimal form :
| x | = | 2.199778 |