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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+(x/1.13*0.13*0.13)-2666.4 = 0 .
Question type: Equation
Solution:Original question:
| x | + | x | ÷ | 113 100 | × | 13 100 | + | ( | x | ÷ | 113 100 | × | 13 100 | × | 13 100 | ) | − | 13332 5 | = | 0 |
| Left side of the equation = | x | + | x | × | 13 113 | + | ( | x | ÷ | 113 100 | × | 13 100 | × | 13 100 | ) | − | 13332 5 |
| = | 126 113 | x | + | ( | x | ÷ | 113 100 | × | 13 100 | × | 13 100 | ) | − | 13332 5 |
126 113 | x | + | ( | x | ÷ | 113 100 | × | 13 100 | × | 13 100 | ) | − | 13332 5 | = | 0 |
| Left side of the equation = | 126 113 | x | + | x | ÷ | 113 100 | × | 13 100 | × | 13 100 | − | 13332 5 |
| = | 126 113 | x | + | x | × | 169 11300 | − | 13332 5 |
| = | 12769 11300 | x | − | 13332 5 |
12769 11300 | x | − | 13332 5 | = | 0 |
Transposition :
12769 11300 | x | = | 0 | + | 13332 5 |
Combine the items on the right of the equation:
12769 11300 | x | = | 13332 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 13332 5 | ÷ | 12769 11300 |
| = | 13332 5 | × | 11300 12769 |
| = | 13332 | × | 2260 12769 |
We obtained :
| x | = | 30130320 12769 |
By reducing fraction, we can get:
| x | = | 266640 113 |
Convert the result to decimal form :
| x | = | 2359.646018 |