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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: 3 questions will be solved this time.Among them
☆3 equations
[ 1/3 Equation]
Work: Find the solution of equation x除去53乘上14 = x减去25 .
Question type: Equation
Solution:Original question:
| x | ÷ | 53 | × | 14 | = | x | − | 25 |
| Left side of the equation = | x | × | 14 53 |
14 53 | x | = | x | − | 25 |
Transposition :
14 53 | x | − | x | = | - | 25 |
Combine the items on the left of the equation:
| - | 39 53 | x | = | - | 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 25 | = | 39 53 | 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 :
39 53 | x | = | 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 25 | ÷ | 39 53 |
| = | 25 | × | 53 39 |
We obtained :
| x | = | 1325 39 |
Convert the result to decimal form :
| x | = | 33.974359 |
[ 2/3 Equation]
Work: Find the solution of equation x除去53乘上14加上1除去2 = x减去25 .
Question type: Equation
Solution:Original question:
| x | ÷ | 53 | × | 14 | + | 1 | ÷ | 2 | = | x | − | 25 |
| Left side of the equation = | x | × | 14 53 | + | 1 2 |
14 53 | x | + | 1 2 | = | x | − | 25 |
Transposition :
14 53 | x | − | x | = | - | 25 | − | 1 2 |
Combine the items on the left of the equation:
| - | 39 53 | x | = | - | 25 | − | 1 2 |
Combine the items on the right of the equation:
| - | 39 53 | x | = | - | 51 2 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
51 2 | = | 39 53 | 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 :
39 53 | x | = | 51 2 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 51 2 | ÷ | 39 53 |
| = | 51 2 | × | 53 39 |
| = | 17 2 | × | 53 13 |
We obtained :
| x | = | 901 26 |
Convert the result to decimal form :
| x | = | 34.653846 |
[ 3/3 Equation]
Work: Find the solution of equation x乘上100除去25 = x加上25 .
Question type: Equation
Solution:Original question:
| x | × | 100 | ÷ | 25 | = | x | + | 25 |
| Left side of the equation = | x | × | 4 |
| 4 | x | = | x | + | 25 |
Transposition :
| 4 | x | − | x | = | 25 |
Combine the items on the left of the equation:
| 3 | x | = | 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 25 | ÷ | 3 |
| = | 25 | × | 1 3 |
We obtained :
| x | = | 25 3 |
Convert the result to decimal form :
| x | = | 8.333333 |