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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 = 127.46+1+(x/1.09*0.09)*1.12+x/1.09*12% .
Question type: Equation
Solution:Original question:
| x | = | 6373 50 | + | 1 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | x | ÷ | 109 100 | × | 12 100 |
| Right side of the equation = | 6373 50 | + | 1 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | x | × | 12 109 |
| = | 6423 50 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | 12 109 | x |
| x | = | 6423 50 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | 12 109 | x |
| Right side of the equation = | 6423 50 | + | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | + | 12 109 | x |
| = | 6423 50 | + | x | × | 252 2725 | + | 12 109 | x |
| = | 6423 50 | + | 552 2725 | x |
| x | = | 6423 50 | + | 552 2725 | x |
Transposition :
| x | − | 552 2725 | x | = | 6423 50 |
Combine the items on the left of the equation:
2173 2725 | x | = | 6423 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6423 50 | ÷ | 2173 2725 |
| = | 6423 50 | × | 2725 2173 |
| = | 6423 2 | × | 109 2173 |
We obtained :
| x | = | 700107 4346 |
Convert the result to decimal form :
| x | = | 161.092269 |