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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 6.11 = (2.5*u)/(u-2.5) .
Question type: Equation
Solution:Original question:
611 100 | = | ( | 5 2 | u | ) | ÷ | ( | u | − | 5 2 | ) |
| Multiply both sides of the equation by: | ( | u | − | 5 2 | ) |
611 100 | ( | u | − | 5 2 | ) | = | ( | 5 2 | u | ) |
611 100 | u | − | 611 100 | × | 5 2 | = | ( | 5 2 | u | ) |
611 100 | u | − | 611 100 | × | 5 2 | = | 5 2 | u |
611 100 | u | − | 611 40 | = | 5 2 | u |
Transposition :
611 100 | u | − | 5 2 | u | = | 611 40 |
Combine the items on the left of the equation:
361 100 | u | = | 611 40 |
The coefficient of the unknown number is reduced to 1 :
| u | = | 611 40 | ÷ | 361 100 |
| = | 611 40 | × | 100 361 |
| = | 611 2 | × | 5 361 |
We obtained :
| u | = | 3055 722 |
Convert the result to decimal form :
| u | = | 4.231302 |