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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 = 7260.51/（7260.51+1791.57/x） .
Question type: Equation
Solution:Original question:
| x | = | 726051 100 | ÷ | ( | 726051 100 | + | 179157 100 | ÷ | x | ) |
| Multiply both sides of the equation by: | ( | 726051 100 | + | 179157 100 | ÷ | x | ) |
| x | ( | 726051 100 | + | 179157 100 | ÷ | x | ) | = | 726051 100 |
| x | × | 726051 100 | + | x | × | 179157 100 | ÷ | x | = | 726051 100 |
Transposition :
726051 100 | x | = | 726051 100 | − | 1 | × | 179157 100 | ÷ | 1 |
Calculate the items on the right of the equation:
726051 100 | x | = | 726051 100 | − | 179157 100 |
Combine the items on the right of the equation:
726051 100 | x | = | 273447 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 273447 50 | ÷ | 726051 100 |
| = | 273447 50 | × | 100 726051 |
| = | 91149 | × | 2 242017 |
We obtained :
| x | = | 182298 242017 |
Convert the result to decimal form :
| x | = | 0.753245 |