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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)/7.08 = 0.694 .
Question type: Equation
Solution:Original question:
| ( | x | − | ( | x | ÷ | 113 100 | × | 13 100 | ) | + | 1 20 | ) | ÷ | 177 25 | = | 347 500 |
| Left side of the equation = | x | × | 25 177 | − | ( | x | ÷ | 113 100 | × | 13 100 | ) | × | 25 177 | + | 1 20 | × | 25 177 |
| = | x | × | 25 177 | − | ( | x | ÷ | 113 100 | × | 13 100 | ) | × | 25 177 | + | 5 708 |
| = | 25 177 | x | − | x | ÷ | 113 100 | × | 13 100 | × | 25 177 | + | 5 708 |
| = | 25 177 | x | − | x | × | 325 20001 | + | 5 708 |
| = | 2500 20001 | x | + | 5 708 |
2500 20001 | x | + | 5 708 | = | 347 500 |
Transposition :
2500 20001 | x | = | 347 500 | − | 5 708 |
Combine the items on the right of the equation:
2500 20001 | x | = | 30397 44250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 30397 44250 | ÷ | 2500 20001 |
| = | 30397 44250 | × | 20001 2500 |
| = | 30397 250 | × | 113 2500 |
We obtained :
| x | = | 3434861 625000 |
Convert the result to decimal form :
| x | = | 5.495778 |