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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 50X-0.01X2 = 0.09X3-10X2+5000 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
The equation is transformed into :
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 50X-0.01X2 = 0.09X3-10X2+5000 .
Question type: Equation
Solution:Original question:
| 50 | X | − | 1 100 | X | × | 2 | = | 9 100 | X | × | 3 | − | 10 | X | × | 2 | + | 5000 |
| Left side of the equation = | 50 | X | − | 1 50 | X |
| = | 2499 50 | X |
2499 50 | X | = | 9 100 | X | × | 3 | − | 10 | X | × | 2 | + | 5000 |
| Right side of the equation = | 27 100 | X | − | 20 | X | + | 5000 |
| = | - | 1973 100 | X | + | 5000 |
2499 50 | X | = | - | 1973 100 | X | + | 5000 |
Transposition :
2499 50 | X | + | 1973 100 | X | = | 5000 |
Combine the items on the left of the equation:
6971 100 | X | = | 5000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 5000 | ÷ | 6971 100 |
| = | 5000 | × | 100 6971 |
We obtained :
| X | = | 500000 6971 |
Convert the result to decimal form :
| X | = | 71.725721 |