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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 -0.0029x2+0.8093x+19.767 = 30 .
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 -0.0029x2+0.8093x+19.767 = 30 .
Question type: Equation
Solution:Original question:
| - | 29 10000 | x | × | 2 | + | 8093 10000 | x | + | 19767 1000 | = | 30 |
| Left side of the equation = | - | 29 5000 | x | + | 8093 10000 | x | + | 19767 1000 |
| = | 1607 2000 | x | + | 19767 1000 |
1607 2000 | x | + | 19767 1000 | = | 30 |
Transposition :
1607 2000 | x | = | 30 | − | 19767 1000 |
Combine the items on the right of the equation:
1607 2000 | x | = | 10233 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 10233 1000 | ÷ | 1607 2000 |
| = | 10233 1000 | × | 2000 1607 |
| = | 10233 | × | 2 1607 |
We obtained :
| x | = | 20466 1607 |
Convert the result to decimal form :
| x | = | 12.735532 |