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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 3351*(1+x/100-0.89) = 3418*(1+x/100-1.11) .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
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 3351*(1+x/100-0.89) = 3418*(1+x/100-1.11) .
Question type: Equation
Solution:Original question:
| 3351 | ( | 1 | + | x | ÷ | 100 | − | 89 100 | ) | = | 3418 | ( | 1 | + | x | ÷ | 100 | − | 111 100 | ) |
| Left side of the equation = | 3351 | × | 1 | + | 3351 | x | ÷ | 100 | − | 3351 | × | 89 100 |
| = | 3351 | + | 3351 100 | x | − | 298239 100 |
| = | 36861 100 | + | 3351 100 | x |
36861 100 | + | 3351 100 | x | = | 3418 | ( | 1 | + | x | ÷ | 100 | − | 111 100 | ) |
| Right side of the equation = | 3418 | × | 1 | + | 3418 | x | ÷ | 100 | − | 3418 | × | 111 100 |
| = | 3418 | + | 1709 50 | x | − | 189699 50 |
| = | - | 18799 50 | + | 1709 50 | x |
36861 100 | + | 3351 100 | x | = | - | 18799 50 | + | 1709 50 | x |
Transposition :
3351 100 | x | − | 1709 50 | x | = | - | 18799 50 | − | 36861 100 |
Combine the items on the left of the equation:
| - | 67 100 | x | = | - | 18799 50 | − | 36861 100 |
Combine the items on the right of the equation:
| - | 67 100 | x | = | - | 74459 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
74459 100 | = | 67 100 | 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 :
67 100 | x | = | 74459 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 74459 100 | ÷ | 67 100 |
| = | 74459 100 | × | 100 67 |
| = | 74459 | × | 1 67 |
We obtained :
| x | = | 74459 67 |
Convert the result to decimal form :
| x | = | 1111.328358 |