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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 = -39.499x5+267.8x4-346.49x3+182.93x2-51.59x+73.677 .
Question type: Equation
Solution:Original question:
| 0 | = | - | 39499 1000 | x | × | 5 | + | 1339 5 | x | × | 4 | − | 34649 100 | x | × | 3 | + | 18293 100 | x | × | 2 |
| Right side of the equation = | - | 39499 200 | x | + | 5356 5 | x | − | 103947 100 | x | + | 18293 50 | x | − | 5159 100 | x | + | 73677 1000 |
| = | 29701 200 | x | + | 73677 1000 |
| 0 | = | 29701 200 | x | + | 73677 1000 |
Transposition :
| - | 29701 200 | x | = | 73677 1000 | − | 0 |
Combine the items on the right of the equation:
| - | 29701 200 | x | = | 73677 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 73677 1000 | = | 29701 200 | 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 :
29701 200 | x | = | - | 73677 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 73677 1000 | ÷ | 29701 200 |
| = | - | 73677 1000 | × | 200 29701 |
| = | - | 73677 5 | × | 1 29701 |
We obtained :
| x | = | - | 73677 148505 |
Convert the result to decimal form :
| x | = | - 0.496125 |