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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 1.5/0.41 = x/(x-1.5) .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
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 1.5/0.41 = x/(x-1.5) .
Question type: Equation
Solution:Original question:
3 2 | ÷ | 41 100 | = | x | ÷ | ( | x | − | 3 2 | ) |
| Multiply both sides of the equation by: | ( | x | − | 3 2 | ) |
3 2 | ÷ | 41 100 | × | ( | x | − | 3 2 | ) | = | x |
3 2 | ÷ | 41 100 | × | x | − | 3 2 | ÷ | 41 100 | × | 3 2 | = | x |
150 41 | x | − | 225 41 | = | x |
Transposition :
150 41 | x | − | x | = | 225 41 |
Combine the items on the left of the equation:
109 41 | x | = | 225 41 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 225 41 | ÷ | 109 41 |
| = | 225 41 | × | 41 109 |
| = | 225 | × | 1 109 |
We obtained :
| x | = | 225 109 |
Convert the result to decimal form :
| x | = | 2.06422 |