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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 140x-0.01x2-30000 = 0 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Transposition :
Combine the items on the right 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 140x-0.01x2-30000 = 0 .
Question type: Equation
Solution:Original question:
| 140 | x | − | 1 100 | x | × | 2 | − | 30000 | = | 0 |
| Left side of the equation = | 140 | x | − | 1 50 | x | − | 30000 |
| = | 6999 50 | x | − | 30000 |
6999 50 | x | − | 30000 | = | 0 |
Transposition :
6999 50 | x | = | 0 | + | 30000 |
Combine the items on the right of the equation:
6999 50 | x | = | 30000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 30000 | ÷ | 6999 50 |
| = | 30000 | × | 50 6999 |
| = | 10000 | × | 50 2333 |
We obtained :
| x | = | 500000 2333 |
Convert the result to decimal form :
| x | = | 214.316331 |