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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 = 161.7+13+1+(x/1.09*0.09)*1.12+x/1.09*12% .
Question type: Equation
Solution:Original question:
| x | = | 1617 10 | + | 13 | + | 1 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | x | ÷ | 109 100 | × | 12 100 |
| Right side of the equation = | 1617 10 | + | 13 | + | 1 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | x | × | 12 109 |
| = | 1757 10 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | 12 109 | x |
| x | = | 1757 10 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | 12 109 | x |
| Right side of the equation = | 1757 10 | + | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | + | 12 109 | x |
| = | 1757 10 | + | x | × | 252 2725 | + | 12 109 | x |
| = | 1757 10 | + | 552 2725 | x |
| x | = | 1757 10 | + | 552 2725 | x |
Transposition :
| x | − | 552 2725 | x | = | 1757 10 |
Combine the items on the left of the equation:
2173 2725 | x | = | 1757 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1757 10 | ÷ | 2173 2725 |
| = | 1757 10 | × | 2725 2173 |
| = | 1757 2 | × | 545 2173 |
We obtained :
| x | = | 957565 4346 |
Convert the result to decimal form :
| x | = | 220.33249 |