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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 3 = 0.3429x2-4.4857x+17.511 .
Question type: Equation
Solution:Original question:
| 3 | = | 3429 10000 | x | × | 2 | − | 44857 10000 | x | + | 17511 1000 |
| Right side of the equation = | 3429 5000 | x | − | 44857 10000 | x | + | 17511 1000 |
| = | - | 37999 10000 | x | + | 17511 1000 |
| 3 | = | - | 37999 10000 | x | + | 17511 1000 |
Transposition :
37999 10000 | x | = | 17511 1000 | − | 3 |
Combine the items on the right of the equation:
37999 10000 | x | = | 14511 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 14511 1000 | ÷ | 37999 10000 |
| = | 14511 1000 | × | 10000 37999 |
| = | 14511 | × | 10 37999 |
We obtained :
| x | = | 145110 37999 |
Convert the result to decimal form :
| x | = | 3.818785 |