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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 0.466/(X/(X+6.12)) = 0.534/(6.12/(X+6.12)) .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
Transposition :
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
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 0.466/(X/(X+6.12)) = 0.534/(6.12/(X+6.12)) .
Question type: Equation
Solution:Original question:
233 500 | ÷ | ( | X | ÷ | ( | X | + | 153 25 | ) | ) | = | 267 500 | ÷ | ( | 153 25 | ÷ | ( | X | + | 153 25 | ) | ) |
| Multiply both sides of the equation by: | ( | X | ÷ | ( | X | + | 153 25 | ) | ) | , | ( | 153 25 | ÷ | ( | X | + | 153 25 | ) | ) |
233 500 | ( | 153 25 | ÷ | ( | X | + | 153 25 | ) | ) | = | 267 500 | ( | X | ÷ | ( | X | + | 153 25 | ) | ) |
233 500 | × | 153 25 | ÷ | ( | X | + | 153 25 | ) | = | 267 500 | ( | X | ÷ | ( | X | + | 153 25 | ) | ) |
233 500 | × | 153 25 | ÷ | ( | X | + | 153 25 | ) | = | 267 500 | X | ÷ | ( | X | + | 153 25 | ) |
35649 12500 | ÷ | ( | X | + | 153 25 | ) | = | 267 500 | X | ÷ | ( | X | + | 153 25 | ) |
| Multiply both sides of the equation by: | ( | X | + | 153 25 | ) |
35649 12500 | = | 267 500 | X |
Transposition :
| - | 267 500 | X | = | - | 35649 12500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
35649 12500 | = | 267 500 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
267 500 | X | = | 35649 12500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 35649 12500 | ÷ | 267 500 |
| = | 35649 12500 | × | 500 267 |
| = | 11883 25 | × | 1 89 |
We obtained :
| X | = | 11883 2225 |
Convert the result to decimal form :
| X | = | 5.340674 |