Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 160.7+45.3+145+（2.0%X+46.1）+16.4%X = X .
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 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 160.7+45.3+145+（2.0%X+46.1）+16.4%X = X .
Question type: Equation
Solution:Original question:
1607 10 | + | 453 10 | + | 145 | + | ( | 2 100 | X | + | 461 10 | ) | + | 82 500 | X | = | X |
| Left side of the equation = | 351 | + | ( | 2 100 | X | + | 461 10 | ) | + | 82 500 | X |
| 351 | + | ( | 2 100 | X | + | 461 10 | ) | + | 82 500 | X | = | X |
| Left side of the equation = | 351 | + | 2 100 | X | + | 461 10 | + | 82 500 | X |
| = | 3971 10 | + | 23 125 | X |
3971 10 | + | 23 125 | X | = | X |
Transposition :
23 125 | X | − | X | = | - | 3971 10 |
Combine the items on the left of the equation:
| - | 102 125 | X | = | - | 3971 10 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3971 10 | = | 102 125 | 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 :
102 125 | X | = | 3971 10 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3971 10 | ÷ | 102 125 |
| = | 3971 10 | × | 125 102 |
| = | 3971 2 | × | 25 102 |
We obtained :
| X | = | 99275 204 |
Convert the result to decimal form :
| X | = | 486.642157 |