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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 6.533258 = (2.5*u)/(u-2.5) .
Question type: Equation
Solution:Original question:
3266629 500000 | = | ( | 5 2 | u | ) | ÷ | ( | u | − | 5 2 | ) |
| Multiply both sides of the equation by: | ( | u | − | 5 2 | ) |
3266629 500000 | ( | u | − | 5 2 | ) | = | ( | 5 2 | u | ) |
3266629 500000 | u | − | 3266629 500000 | × | 5 2 | = | ( | 5 2 | u | ) |
3266629 500000 | u | − | 3266629 500000 | × | 5 2 | = | 5 2 | u |
3266629 500000 | u | − | 3266629 200000 | = | 5 2 | u |
Transposition :
3266629 500000 | u | − | 5 2 | u | = | 3266629 200000 |
Combine the items on the left of the equation:
2016629 500000 | u | = | 3266629 200000 |
The coefficient of the unknown number is reduced to 1 :
| u | = | 3266629 200000 | ÷ | 2016629 500000 |
| = | 3266629 200000 | × | 500000 2016629 |
| = | 3266629 2 | × | 5 2016629 |
We obtained :
| u | = | 16333145 4033258 |
Convert the result to decimal form :
| u | = | 4.049616 |