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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 2/(1/0.8915+1/x) = 0.9061 .
Question type: Equation
Solution:Original question:
| 2 | ÷ | ( | 1 | ÷ | 1783 2000 | + | 1 | ÷ | x | ) | = | 9061 10000 |
| Multiply both sides of the equation by: | ( | 1 | ÷ | 1783 2000 | + | 1 | ÷ | x | ) |
| 2 | = | 9061 10000 | ( | 1 | ÷ | 1783 2000 | + | 1 | ÷ | x | ) |
| 2 | = | 9061 10000 | × | 1 | ÷ | 1783 2000 | + | 9061 10000 | × | 1 | ÷ | x |
| 2 | = | 9061 8915 | + | 9061 10000 | ÷ | x |
| Multiply both sides of the equation by: | x |
| 2 | x | = | 9061 8915 | x | + | 9061 10000 |
Transposition :
| 2 | x | − | 9061 8915 | x | = | 9061 10000 |
Combine the items on the left of the equation:
8769 8915 | x | = | 9061 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9061 10000 | ÷ | 8769 8915 |
| = | 9061 10000 | × | 8915 8769 |
| = | 9061 2000 | × | 1783 8769 |
We obtained :
| x | = | 16155763 17538000 |
Convert the result to decimal form :
| x | = | 0.921186 |