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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 2*x*0.5111/(x+0.5111) = 0.4752 .
Question type: Equation
Solution:Original question:
Remove a bracket on the right 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 2*x*0.5111/(x+0.5111) = 0.4752 .
Question type: Equation
Solution:Original question:
| 2 | x | × | 5111 10000 | ÷ | ( | x | + | 5111 10000 | ) | = | 297 625 |
| Multiply both sides of the equation by: | ( | x | + | 5111 10000 | ) |
| 2 | x | × | 5111 10000 | = | 297 625 | ( | x | + | 5111 10000 | ) |
| 2 | x | × | 5111 10000 | = | 297 625 | x | + | 297 625 | × | 5111 10000 |
5111 5000 | x | = | 297 625 | x | + | 1517967 6250000 |
Transposition :
5111 5000 | x | − | 297 625 | x | = | 1517967 6250000 |
Combine the items on the left of the equation:
547 1000 | x | = | 1517967 6250000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1517967 6250000 | ÷ | 547 1000 |
| = | 1517967 6250000 | × | 1000 547 |
| = | 1517967 6250 | × | 1 547 |
We obtained :
| x | = | 1517967 3418750 |
Convert the result to decimal form :
| x | = | 0.444012 |