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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 0.22867 = x/(x+180000*0.7844) .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
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 0.22867 = x/(x+180000*0.7844) .
Question type: Equation
Solution:Original question:
22867 100000 | = | x | ÷ | ( | x | + | 180000 | × | 1961 2500 | ) |
| Multiply both sides of the equation by: | ( | x | + | 180000 | × | 1961 2500 | ) |
22867 100000 | ( | x | + | 180000 | × | 1961 2500 | ) | = | x |
22867 100000 | x | + | 22867 100000 | × | 180000 | × | 1961 2500 | = | x |
22867 100000 | x | + | 403579683 12500 | = | x |
Transposition :
22867 100000 | x | − | x | = | - | 403579683 12500 |
Combine the items on the left of the equation:
| - | 77133 100000 | x | = | - | 403579683 12500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
403579683 12500 | = | 77133 100000 | 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 :
77133 100000 | x | = | 403579683 12500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 403579683 12500 | ÷ | 77133 100000 |
| = | 403579683 12500 | × | 100000 77133 |
| = | 134526561 | × | 8 25711 |
We obtained :
| x | = | 1076212488 25711 |
Convert the result to decimal form :
| x | = | 41858.056396 |