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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 = -0.1673x2+1.0205x-0.882 .
Question type: Equation
Solution:Original question:
1 2 | = | - | 1673 10000 | x | × | 2 | + | 2041 2000 | x | − | 441 500 |
| Right side of the equation = | - | 1673 5000 | x | + | 2041 2000 | x | − | 441 500 |
| = | 6859 10000 | x | − | 441 500 |
1 2 | = | 6859 10000 | x | − | 441 500 |
Transposition :
| - | 6859 10000 | x | = | - | 441 500 | − | 1 2 |
Combine the items on the right of the equation:
| - | 6859 10000 | x | = | - | 691 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
691 500 | = | 6859 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 :
6859 10000 | x | = | 691 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 691 500 | ÷ | 6859 10000 |
| = | 691 500 | × | 10000 6859 |
| = | 691 | × | 20 6859 |
We obtained :
| x | = | 13820 6859 |
Convert the result to decimal form :
| x | = | 2.014871 |