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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 = 136.28+13.3+1+(x/1.09*0.09)*1.12+x/1.09*12%+x/1.09*0.09 .
Question type: Equation
Solution:Original question:
| x | = | 3407 25 | + | 133 10 | + | 1 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | x | ÷ | 109 100 | × | 12 100 | + | x | ÷ | 109 100 | × | 9 100 |
| Right side of the equation = | 3407 25 | + | 133 10 | + | 1 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | x | × | 12 109 | + | x | × | 9 109 |
| = | 7529 50 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | 21 109 | x |
| x | = | 7529 50 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | 21 109 | x |
| Right side of the equation = | 7529 50 | + | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | + | 21 109 | x |
| = | 7529 50 | + | x | × | 252 2725 | + | 21 109 | x |
| = | 7529 50 | + | 777 2725 | x |
| x | = | 7529 50 | + | 777 2725 | x |
Transposition :
| x | − | 777 2725 | x | = | 7529 50 |
Combine the items on the left of the equation:
1948 2725 | x | = | 7529 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7529 50 | ÷ | 1948 2725 |
| = | 7529 50 | × | 2725 1948 |
| = | 7529 2 | × | 109 1948 |
We obtained :
| x | = | 820661 3896 |
Convert the result to decimal form :
| x | = | 210.64194 |