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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 15.097*x2-200.17x+609.97 = 2941.61 .
Question type: Equation
Solution:Original question:
15097 1000 | x | × | 2 | − | 20017 100 | x | + | 60997 100 | = | 294161 100 |
| Left side of the equation = | 15097 500 | x | − | 20017 100 | x | + | 60997 100 |
| = | - | 21247 125 | x | + | 60997 100 |
| - | 21247 125 | x | + | 60997 100 | = | 294161 100 |
Transposition :
| - | 21247 125 | x | = | 294161 100 | − | 60997 100 |
Combine the items on the right of the equation:
| - | 21247 125 | x | = | 58291 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 58291 25 | = | 21247 125 | 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 :
21247 125 | x | = | - | 58291 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 58291 25 | ÷ | 21247 125 |
| = | - | 58291 25 | × | 125 21247 |
| = | - | 58291 | × | 5 21247 |
We obtained :
| x | = | - | 291455 21247 |
Convert the result to decimal form :
| x | = | - 13.717466 |