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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 200-x/220-x = 0.58 .
Question type: Equation
Solution:Original question:
| 200 | − | x | ÷ | 220 | − | x | = | 29 50 |
| Left side of the equation = | 200 | − | 221 220 | x |
| 200 | − | 221 220 | x | = | 29 50 |
Transposition :
| - | 221 220 | x | = | 29 50 | − | 200 |
Combine the items on the right of the equation:
| - | 221 220 | x | = | - | 9971 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9971 50 | = | 221 220 | 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 :
221 220 | x | = | 9971 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9971 50 | ÷ | 221 220 |
| = | 9971 50 | × | 220 221 |
| = | 767 5 | × | 22 17 |
We obtained :
| x | = | 16874 85 |
Convert the result to decimal form :
| x | = | 198.517647 |