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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 10.5% = 1.1*（1+X）/14.4+X .
Question type: Equation
Solution:Original question:
21 200 | = | 11 10 | ( | 1 | + | X | ) | ÷ | 72 5 | + | X |
| Right side of the equation = | 11 144 | ( | 1 | + | X | ) | + | X |
21 200 | = | 11 144 | ( | 1 | + | X | ) | + | X |
| Right side of the equation = | 11 144 | × | 1 | + | 11 144 | X | + | X |
| = | 11 144 | + | 11 144 | X | + | X |
| = | 11 144 | + | 155 144 | X |
21 200 | = | 11 144 | + | 155 144 | X |
Transposition :
| - | 155 144 | X | = | 11 144 | − | 21 200 |
Combine the items on the right of the equation:
| - | 155 144 | X | = | - | 103 3600 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
103 3600 | = | 155 144 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
155 144 | X | = | 103 3600 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 103 3600 | ÷ | 155 144 |
| = | 103 3600 | × | 144 155 |
| = | 103 25 | × | 1 155 |
We obtained :
| X | = | 103 3875 |
Convert the result to decimal form :
| X | = | 0.026581 |