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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 25 = -0.0377x4+1.0883x3-10.141x2+22.233x+86.75 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
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 25 = -0.0377x4+1.0883x3-10.141x2+22.233x+86.75 .
Question type: Equation
Solution:Original question:
| 25 | = | - | 377 10000 | x | × | 4 | + | 10883 10000 | x | × | 3 | − | 10141 1000 | x | × | 2 | + | 22233 1000 | x | + | 347 4 |
| Right side of the equation = | - | 377 2500 | x | + | 32649 10000 | x | − | 10141 500 | x | + | 22233 1000 | x | + | 347 4 |
| = | 50651 10000 | x | + | 347 4 |
| 25 | = | 50651 10000 | x | + | 347 4 |
Transposition :
| - | 50651 10000 | x | = | 347 4 | − | 25 |
Combine the items on the right of the equation:
| - | 50651 10000 | x | = | 247 4 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 247 4 | = | 50651 10000 | 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 :
50651 10000 | x | = | - | 247 4 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 247 4 | ÷ | 50651 10000 |
| = | - | 247 4 | × | 10000 50651 |
| = | - | 247 | × | 2500 50651 |
We obtained :
| x | = | - | 617500 50651 |
Convert the result to decimal form :
| x | = | - 12.19127 |