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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 0.5 = 0.0504x3-0.3743x2+0.8859x-0.2164 .
Question type: Equation
Solution:Original question:
1 2 | = | 63 1250 | x | × | 3 | − | 3743 10000 | x | × | 2 | + | 8859 10000 | x | − | 541 2500 |
| Right side of the equation = | 189 1250 | x | − | 3743 5000 | x | + | 8859 10000 | x | − | 541 2500 |
| = | 577 2000 | x | − | 541 2500 |
1 2 | = | 577 2000 | x | − | 541 2500 |
Transposition :
| - | 577 2000 | x | = | - | 541 2500 | − | 1 2 |
Combine the items on the right of the equation:
| - | 577 2000 | x | = | - | 1791 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1791 2500 | = | 577 2000 | 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 :
577 2000 | x | = | 1791 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1791 2500 | ÷ | 577 2000 |
| = | 1791 2500 | × | 2000 577 |
| = | 1791 5 | × | 4 577 |
We obtained :
| x | = | 7164 2885 |
Convert the result to decimal form :
| x | = | 2.483189 |