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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 1.06x+1.13*(279.81-102-x)+102*1.09 = 305 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
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 1.06x+1.13*(279.81-102-x)+102*1.09 = 305 .
Question type: Equation
Solution:Original question:
53 50 | x | + | 113 100 | ( | 27981 100 | − | 102 | − | x | ) | + | 102 | × | 109 100 | = | 305 |
| Left side of the equation = | 53 50 | x | + | 113 100 | ( | 27981 100 | − | 102 | − | x | ) | + | 5559 50 |
53 50 | x | + | 113 100 | ( | 27981 100 | − | 102 | − | x | ) | + | 5559 50 | = | 305 |
| Left side of the equation = | 53 50 | x | + | 113 100 | × | 27981 100 | − | 113 100 | × | 102 | − | 113 100 | x | + | 5559 50 |
| = | 53 50 | x | + | 3161853 10000 | − | 5763 50 | − | 113 100 | x | + | 5559 50 |
| = | - | 7 100 | x | + | 3121053 10000 |
| - | 7 100 | x | + | 3121053 10000 | = | 305 |
Transposition :
| - | 7 100 | x | = | 305 | − | 3121053 10000 |
Combine the items on the right of the equation:
| - | 7 100 | x | = | - | 71053 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
71053 10000 | = | 7 100 | 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 :
7 100 | x | = | 71053 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 71053 10000 | ÷ | 7 100 |
| = | 71053 10000 | × | 100 7 |
| = | 71053 100 | × | 1 7 |
We obtained :
| x | = | 71053 700 |
Convert the result to decimal form :
| x | = | 101.504286 |