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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 x/0.177 = (x-18)/0.023 .
Question type: Equation
Solution:Original question:
| x | ÷ | 177 1000 | = | ( | x | − | 18 | ) | ÷ | 23 1000 |
| Right side of the equation = | x | × | 1000 23 | − | 18 | × | 1000 23 |
| = | x | × | 1000 23 | − | 18000 23 |
1000 177 | x | = | 1000 23 | x | − | 18000 23 |
Transposition :
1000 177 | x | − | 1000 23 | x | = | - | 18000 23 |
Combine the items on the left of the equation:
| - | 154000 4071 | x | = | - | 18000 23 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
18000 23 | = | 154000 4071 | 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 :
154000 4071 | x | = | 18000 23 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 18000 23 | ÷ | 154000 4071 |
| = | 18000 23 | × | 4071 154000 |
| = | 9 | × | 177 77 |
We obtained :
| x | = | 1593 77 |
Convert the result to decimal form :
| x | = | 20.688312 |