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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-x/1.13*0.13）+0.05)/7.13 = 0.774 .
Question type: Equation
Solution:Original question:
| ( | ( | x | − | x | ÷ | 113 100 | × | 13 100 | ) | + | 1 20 | ) | ÷ | 713 100 | = | 387 500 |
| Left side of the equation = | ( | x | − | x | ÷ | 113 100 | × | 13 100 | ) | × | 100 713 | + | 1 20 | × | 100 713 |
| = | ( | x | − | x | ÷ | 113 100 | × | 13 100 | ) | × | 100 713 | + | 5 713 |
| = | x | × | 100 713 | − | x | ÷ | 113 100 | × | 13 100 | × | 100 713 | + | 5 713 |
| = | x | × | 100 713 | − | x | × | 1300 80569 | + | 5 713 |
| = | 10000 80569 | x | + | 5 713 |
10000 80569 | x | + | 5 713 | = | 387 500 |
Transposition :
10000 80569 | x | = | 387 500 | − | 5 713 |
Combine the items on the right of the equation:
10000 80569 | x | = | 273431 356500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 273431 356500 | ÷ | 10000 80569 |
| = | 273431 356500 | × | 80569 10000 |
| = | 273431 500 | × | 113 10000 |
We obtained :
| x | = | 30897703 5000000 |
Convert the result to decimal form :
| x | = | 6.179541 |