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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 1.055x*1.025+1.0975（400000-x） = 435775 .
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.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 1.055x*1.025+1.0975（400000-x） = 435775 .
Question type: Equation
Solution:Original question:
211 200 | x | × | 41 40 | + | 439 400 | ( | 400000 | − | x | ) | = | 435775 |
| Left side of the equation = | 8651 8000 | x | + | 439 400 | ( | 400000 | − | x | ) |
8651 8000 | x | + | 439 400 | ( | 400000 | − | x | ) | = | 435775 |
| Left side of the equation = | 8651 8000 | x | + | 439 400 | × | 400000 | − | 439 400 | x |
| = | 8651 8000 | x | + | 439000 | − | 439 400 | x |
| = | - | 129 8000 | x | + | 439000 |
| - | 129 8000 | x | + | 439000 | = | 435775 |
Transposition :
| - | 129 8000 | x | = | 435775 | − | 439000 |
Combine the items on the right of the equation:
| - | 129 8000 | x | = | - | 3225 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 3225 | = | 129 8000 | 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 :
129 8000 | x | = | 3225 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3225 | ÷ | 129 8000 |
| = | 3225 | × | 8000 129 |
| = | 25 | × | 8000 |
We obtained :
| x | = | 200000 |