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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
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[ 1/1 Equation]
Work: Find the solution of equation 6% = [（x-99)÷99]*(360÷180)*100% .
Question type: Equation
Solution:Original question:
6 100 | = | ( | ( | x | − | 99 | ) | ÷ | 99 | ) | ( | 360 | ÷ | 180 | ) | × | 100 100 |
| Right side of the equation = | ( | x | − | 99 | ) | ÷ | 99 | × | ( | 360 | ÷ | 180 | ) | × | 100 100 |
| = | ( | x | − | 99 | ) | × | 1 99 | ( | 360 | ÷ | 180 | ) |
| = | x | × | 1 99 | ( | 360 | ÷ | 180 | ) | − | 99 | × | 1 99 | ( | 360 | ÷ | 180 | ) |
| = | x | × | 1 99 | ( | 360 | ÷ | 180 | ) | − | 1 | ( | 360 | ÷ | 180 | ) |
| = | x | × | 1 99 | × | 360 | ÷ | 180 | − | 1 | ( | 360 | ÷ | 180 | ) |
| = | x | × | 2 99 | − | 1 | ( | 360 | ÷ | 180 | ) |
| = | 2 99 | x | − | 1 | × | 360 | ÷ | 180 |
| = | 2 99 | x | − | 2 |
6 100 | = | 2 99 | x | − | 2 |
Transposition :
| - | 2 99 | x | = | - | 2 | − | 6 100 |
Combine the items on the right of the equation:
| - | 2 99 | x | = | - | 103 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
103 50 | = | 2 99 | 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 :
2 99 | x | = | 103 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 103 50 | ÷ | 2 99 |
| = | 103 50 | × | 99 2 |
We obtained :
| x | = | 10197 100 |
Convert the result to decimal form :
| x | = | 101.97 |