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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 11 = -0.0232X2+2.4909X+2.4747 .
Question type: Equation
Solution:Original question:
| 11 | = | - | 29 1250 | X | × | 2 | + | 24909 10000 | X | + | 24747 10000 |
| Right side of the equation = | - | 29 625 | X | + | 24909 10000 | X | + | 24747 10000 |
| = | 4889 2000 | X | + | 24747 10000 |
| 11 | = | 4889 2000 | X | + | 24747 10000 |
Transposition :
| - | 4889 2000 | X | = | 24747 10000 | − | 11 |
Combine the items on the right of the equation:
| - | 4889 2000 | X | = | - | 85253 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
85253 10000 | = | 4889 2000 | 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 :
4889 2000 | X | = | 85253 10000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 85253 10000 | ÷ | 4889 2000 |
| = | 85253 10000 | × | 2000 4889 |
| = | 85253 5 | × | 1 4889 |
We obtained :
| X | = | 85253 24445 |
Convert the result to decimal form :
| X | = | 3.487543 |