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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 -0.9101x5+8.9631x4-32.455x3+51.459x2-32.694x+8.3785 = 2.878 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation -0.9101x5+8.9631x4-32.455x3+51.459x2-32.694x+8.3785 = 2.878 .
Question type: Equation
Solution:Original question:
| - | 9101 10000 | x | × | 5 | + | 89631 10000 | x | × | 4 | − | 6491 200 | x | × | 3 | + | 51459 1000 | x | × | 2 | = | 1439 500 |
| Left side of the equation = | - | 9101 2000 | x | + | 89631 2500 | x | − | 19473 200 | x | + | 51459 500 | x | − | 16347 500 | x | + | 16757 2000 |
| = | 41609 10000 | x | + | 16757 2000 |
41609 10000 | x | + | 16757 2000 | = | 1439 500 |
Transposition :
41609 10000 | x | = | 1439 500 | − | 16757 2000 |
Combine the items on the right of the equation:
41609 10000 | x | = | - | 11001 2000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 11001 2000 | ÷ | 41609 10000 |
| = | - | 11001 2000 | × | 10000 41609 |
| = | - | 11001 | × | 5 41609 |
We obtained :
| x | = | - | 55005 41609 |
Convert the result to decimal form :
| x | = | - 1.32195 |