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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 14 = 1.205*(1+100/x) .
Question type: Equation
Solution:Original question:
| 14 | = | 241 200 | ( | 1 | + | 100 | ÷ | x | ) |
| 14 | = | 241 200 | × | 1 | + | 241 200 | × | 100 | ÷ | x |
| 14 | = | 241 200 | + | 241 2 | ÷ | x |
| Multiply both sides of the equation by: | x |
| 14 | x | = | 241 200 | x | + | 241 2 |
Transposition :
| 14 | x | − | 241 200 | x | = | 241 2 |
Combine the items on the left of the equation:
2559 200 | x | = | 241 2 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 241 2 | ÷ | 2559 200 |
| = | 241 2 | × | 200 2559 |
| = | 241 | × | 100 2559 |
We obtained :
| x | = | 24100 2559 |
Convert the result to decimal form :
| x | = | 9.417741 |