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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*1600*x2 = 6.667*6810*（1179-x） .
Question type: Equation
Solution:Original question:
1 2 | × | 1600 | x | × | 2 | = | 6667 1000 | × | 6810 | ( | 1179 | − | x | ) |
| Left side of the equation = | 1600 | x |
| 1600 | x | = | 6667 1000 | × | 6810 | ( | 1179 | − | x | ) |
| Right side of the equation = | 4540227 100 | ( | 1179 | − | x | ) |
| 1600 | x | = | 4540227 100 | ( | 1179 | − | x | ) |
| Right side of the equation = | 4540227 100 | × | 1179 | − | 4540227 100 | x |
| = | 5352927633 100 | − | 4540227 100 | x |
| 1600 | x | = | 5352927633 100 | − | 4540227 100 | x |
Transposition :
| 1600 | x | + | 4540227 100 | x | = | 5352927633 100 |
Combine the items on the left of the equation:
4700227 100 | x | = | 5352927633 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5352927633 100 | ÷ | 4700227 100 |
| = | 5352927633 100 | × | 100 4700227 |
| = | 5352927633 | × | 1 4700227 |
We obtained :
| x | = | 5352927633 4700227 |
Convert the result to decimal form :
| x | = | 1138.865768 |