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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 = 0.000008x4-0.0003x3-0.0009x2+0.1188x+0.353 .
Question type: Equation
Solution:Original question:
| 0 | = | 1 125000 | x | × | 4 | − | 3 10000 | x | × | 3 | − | 9 10000 | x | × | 2 | + | 297 2500 | x | + | 353 1000 |
| Right side of the equation = | 1 31250 | x | − | 9 10000 | x | − | 9 5000 | x | + | 297 2500 | x | + | 353 1000 |
| = | 29033 250000 | x | + | 353 1000 |
| 0 | = | 29033 250000 | x | + | 353 1000 |
Transposition :
| - | 29033 250000 | x | = | 353 1000 | − | 0 |
Combine the items on the right of the equation:
| - | 29033 250000 | x | = | 353 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 353 1000 | = | 29033 250000 | 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 :
29033 250000 | x | = | - | 353 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 353 1000 | ÷ | 29033 250000 |
| = | - | 353 1000 | × | 250000 29033 |
| = | - | 353 | × | 250 29033 |
We obtained :
| x | = | - | 88250 29033 |
Convert the result to decimal form :
| x | = | - 3.039645 |