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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 2093 = -0.4141x2+70.859x-218.34 .
Question type: Equation
Solution:Original question:
| 2093 | = | - | 4141 10000 | x | × | 2 | + | 70859 1000 | x | − | 10917 50 |
| Right side of the equation = | - | 4141 5000 | x | + | 70859 1000 | x | − | 10917 50 |
| = | 175077 2500 | x | − | 10917 50 |
| 2093 | = | 175077 2500 | x | − | 10917 50 |
Transposition :
| - | 175077 2500 | x | = | - | 10917 50 | − | 2093 |
Combine the items on the right of the equation:
| - | 175077 2500 | x | = | - | 115567 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
115567 50 | = | 175077 2500 | 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 :
175077 2500 | x | = | 115567 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 115567 50 | ÷ | 175077 2500 |
| = | 115567 50 | × | 2500 175077 |
| = | 115567 | × | 50 175077 |
We obtained :
| x | = | 5778350 175077 |
Convert the result to decimal form :
| x | = | 33.004621 |