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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 （0.88-X）/（X-0.84） = 2.7133 .
Question type: Equation
Solution:Original question:
| ( | 22 25 | − | X | ) | ÷ | ( | X | − | 21 25 | ) | = | 27133 10000 |
| Multiply both sides of the equation by: | ( | X | − | 21 25 | ) |
| ( | 22 25 | − | X | ) | = | 27133 10000 | ( | X | − | 21 25 | ) |
22 25 | − | X | = | 27133 10000 | ( | X | − | 21 25 | ) |
22 25 | − | X | = | 27133 10000 | X | − | 27133 10000 | × | 21 25 |
22 25 | − | X | = | 27133 10000 | X | − | 569793 250000 |
Transposition :
| - | X | − | 27133 10000 | X | = | - | 569793 250000 | − | 22 25 |
Combine the items on the left of the equation:
| - | 37133 10000 | X | = | - | 569793 250000 | − | 22 25 |
Combine the items on the right of the equation:
| - | 37133 10000 | X | = | - | 789793 250000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
789793 250000 | = | 37133 10000 | 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 :
37133 10000 | X | = | 789793 250000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 789793 250000 | ÷ | 37133 10000 |
| = | 789793 250000 | × | 10000 37133 |
| = | 789793 25 | × | 1 37133 |
We obtained :
| X | = | 789793 928325 |
Convert the result to decimal form :
| X | = | 0.850772 |