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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 0.0062x4+0.0699x3-0.5771x2-8.3038x-17.941 = 2.15 .
Question type: Equation
Solution:Original question:
31 5000 | x | × | 4 | + | 699 10000 | x | × | 3 | − | 5771 10000 | x | × | 2 | − | 41519 5000 | x | − | 17941 1000 | = | 43 20 |
| Left side of the equation = | 31 1250 | x | + | 2097 10000 | x | − | 5771 5000 | x | − | 41519 5000 | x | − | 17941 1000 |
| = | - | 18447 2000 | x | − | 17941 1000 |
| - | 18447 2000 | x | − | 17941 1000 | = | 43 20 |
Transposition :
| - | 18447 2000 | x | = | 43 20 | + | 17941 1000 |
Combine the items on the right of the equation:
| - | 18447 2000 | x | = | 20091 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 20091 1000 | = | 18447 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 :
18447 2000 | x | = | - | 20091 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 20091 1000 | ÷ | 18447 2000 |
| = | - | 20091 1000 | × | 2000 18447 |
| = | - | 6697 | × | 2 6149 |
We obtained :
| x | = | - | 13394 6149 |
Convert the result to decimal form :
| x | = | - 2.17824 |