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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÷1.01-(x÷0.6)×0.6-0.6x = 90 .
Question type: Equation
Solution:Original question:
| x | ÷ | 101 100 | − | ( | x | ÷ | 3 5 | ) | × | 3 5 | − | 3 5 | x | = | 90 |
| Left side of the equation = | 197 505 | x | − | ( | x | ÷ | 3 5 | ) | × | 3 5 |
197 505 | x | − | ( | x | ÷ | 3 5 | ) | × | 3 5 | = | 90 |
| Left side of the equation = | 197 505 | x | − | x | ÷ | 3 5 | × | 3 5 |
| = | 197 505 | x | − | x | × | 1 |
| = | - | 308 505 | x |
| - | 308 505 | x | = | 90 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 90 | = | 308 505 | 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 :
308 505 | x | = | - | 90 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 90 | ÷ | 308 505 |
| = | - | 90 | × | 505 308 |
| = | - | 45 | × | 505 154 |
We obtained :
| x | = | - | 22725 154 |
Convert the result to decimal form :
| x | = | - 147.564935 |