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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 ((55.31+x)*1.065-x)*0.02 = x .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left 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 ((55.31+x)*1.065-x)*0.02 = x .
Question type: Equation
Solution:Original question:
| ( | ( | 5531 100 | + | x | ) | × | 213 200 | − | x | ) | × | 1 50 | = | x |
| Left side of the equation = | ( | 5531 100 | + | x | ) | × | 213 200 | × | 1 50 | − | x | × | 1 50 |
| = | ( | 5531 100 | + | x | ) | × | 213 10000 | − | x | × | 1 50 |
| = | 5531 100 | × | 213 10000 | + | x | × | 213 10000 | − | 1 50 | x |
| = | 1178103 1000000 | + | x | × | 213 10000 | − | 1 50 | x |
| = | 1178103 1000000 | + | 13 10000 | x |
1178103 1000000 | + | 13 10000 | x | = | x |
Transposition :
13 10000 | x | − | x | = | - | 1178103 1000000 |
Combine the items on the left of the equation:
| - | 9987 10000 | x | = | - | 1178103 1000000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1178103 1000000 | = | 9987 10000 | 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 :
9987 10000 | x | = | 1178103 1000000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1178103 1000000 | ÷ | 9987 10000 |
| = | 1178103 1000000 | × | 10000 9987 |
| = | 392701 100 | × | 1 3329 |
We obtained :
| x | = | 392701 332900 |
Convert the result to decimal form :
| x | = | 1.179637 |