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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 -2x+24 = -0.0187x4+0.3669x3-2.5153x2+8.2177x-0.0049 .
Question type: Equation
Solution:Original question:
| - | 2 | x | + | 24 | = | - | 187 10000 | x | × | 4 | + | 3669 10000 | x | × | 3 | − | 25153 10000 | x | × | 2 | + | 82177 10000 | x | − | 49 10000 |
| Right side of the equation = | - | 187 2500 | x | + | 11007 10000 | x | − | 25153 5000 | x | + | 82177 10000 | x | − | 49 10000 |
| = | 4213 1000 | x | − | 49 10000 |
| - | 2 | x | + | 24 | = | 4213 1000 | x | − | 49 10000 |
Transposition :
| - | 2 | x | − | 4213 1000 | x | = | - | 49 10000 | − | 24 |
Combine the items on the left of the equation:
| - | 6213 1000 | x | = | - | 49 10000 | − | 24 |
Combine the items on the right of the equation:
| - | 6213 1000 | x | = | - | 240049 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
240049 10000 | = | 6213 1000 | 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 :
6213 1000 | x | = | 240049 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 240049 10000 | ÷ | 6213 1000 |
| = | 240049 10000 | × | 1000 6213 |
| = | 240049 10 | × | 1 6213 |
We obtained :
| x | = | 240049 62130 |
Convert the result to decimal form :
| x | = | 3.863657 |