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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 = 164.22+9.64+1+(x/1.09*0.09)*1.12+x/1.09*12% .
Question type: Equation
Solution:Original question:
| x | = | 8211 50 | + | 241 25 | + | 1 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | x | ÷ | 109 100 | × | 12 100 |
| Right side of the equation = | 8211 50 | + | 241 25 | + | 1 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | x | × | 12 109 |
| = | 8743 50 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | 12 109 | x |
| x | = | 8743 50 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | 12 109 | x |
| Right side of the equation = | 8743 50 | + | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | + | 12 109 | x |
| = | 8743 50 | + | x | × | 252 2725 | + | 12 109 | x |
| = | 8743 50 | + | 552 2725 | x |
| x | = | 8743 50 | + | 552 2725 | x |
Transposition :
| x | − | 552 2725 | x | = | 8743 50 |
Combine the items on the left of the equation:
2173 2725 | x | = | 8743 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8743 50 | ÷ | 2173 2725 |
| = | 8743 50 | × | 2725 2173 |
| = | 8743 2 | × | 109 2173 |
We obtained :
| x | = | 952987 4346 |
Convert the result to decimal form :
| x | = | 219.279107 |