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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 = -0.5471x5+26.03x4-473.47x3+4152.8x2-14347x+9737.4 .
Question type: Equation
Solution:Original question:
| 0 | = | - | 5471 10000 | x | × | 5 | + | 2603 100 | x | × | 4 | − | 47347 100 | x | × | 3 | + | 20764 5 | x | × | 2 |
| Right side of the equation = | - | 5471 2000 | x | + | 2603 25 | x | − | 142041 100 | x | + | 41528 5 | x | − | 14347 | x | + | 48687 5 |
| = | - | 14720851 2000 | x | + | 48687 5 |
| 0 | = | - | 14720851 2000 | x | + | 48687 5 |
Transposition :
14720851 2000 | x | = | 48687 5 | − | 0 |
Combine the items on the right of the equation:
14720851 2000 | x | = | 48687 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 48687 5 | ÷ | 14720851 2000 |
| = | 48687 5 | × | 2000 14720851 |
| = | 48687 | × | 400 14720851 |
We obtained :
| x | = | 19474800 14720851 |
Convert the result to decimal form :
| x | = | 1.32294 |