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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 1/(1-0.6+0.6/x) = 1.67 .
Question type: Equation
Solution:Original question:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 1/(1-0.6+0.6/x) = 1.67 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | ( | 1 | − | 3 5 | + | 3 5 | ÷ | x | ) | = | 167 100 |
| Multiply both sides of the equation by: | ( | 1 | − | 3 5 | + | 3 5 | ÷ | x | ) |
| 1 | = | 167 100 | ( | 1 | − | 3 5 | + | 3 5 | ÷ | x | ) |
| 1 | = | 167 100 | × | 1 | − | 167 100 | × | 3 5 | + | 167 100 | × | 3 5 | ÷ | x |
| 1 | = | 167 100 | − | 501 500 | + | 501 500 | ÷ | x |
| 1 | = | 167 250 | + | 501 500 | ÷ | x |
| Multiply both sides of the equation by: | x |
| 1 | x | = | 167 250 | x | + | 501 500 |
Transposition :
| 1 | x | − | 167 250 | x | = | 501 500 |
Combine the items on the left of the equation:
83 250 | x | = | 501 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 501 500 | ÷ | 83 250 |
| = | 501 500 | × | 250 83 |
| = | 501 2 | × | 1 83 |
We obtained :
| x | = | 501 166 |
Convert the result to decimal form :
| x | = | 3.018072 |