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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 x = 453*0.16(4000-x)+0.16[4000-x-453*0.16(4000-x)] .
Question type: Equation
Solution:Original question:
| x | = | 453 | × | 4 25 | ( | 4000 | − | x | ) | + | 4 25 | ( | 4000 | − | x | − | 453 | × | 4 25 | ( | 4000 | − | x | ) | ) |
| Right side of the equation = | 1812 25 | ( | 4000 | − | x | ) | + | 4 25 | ( | 4000 | − | x | − | 453 | × | 4 25 | ( | 4000 | − | x | ) | ) |
| x | = | 1812 25 | ( | 4000 | − | x | ) | + | 4 25 | ( | 4000 | − | x | − | 453 | × | 4 25 | ( | 4000 | − | x | ) | ) |
| Right side of the equation = | 1812 25 | × | 4000 | − | 1812 25 | x | + | 4 25 | ( | 4000 | − | x | − | 453 | × | 4 25 | ( | 4000 | − | x | ) | ) |
| = | 289920 | − | 1812 25 | x | + | 4 25 | ( | 4000 | − | x | − | 453 | × | 4 25 | ( | 4000 | − | x | ) | ) |
| = | 289920 | − | 1812 25 | x | + | 4 25 | × | 4000 | − | 4 25 | x | − | 4 25 | × | 453 | × | 4 25 | ( | 4000 | − | x | ) |
| = | 289920 | − | 1812 25 | x | + | 640 | − | 4 25 | x | − | 7248 625 | ( | 4000 | − | x | ) |
| = | 290560 | − | 1816 25 | x | − | 7248 625 | ( | 4000 | − | x | ) |
| = | 290560 | − | 1816 25 | x | − | 7248 625 | × | 4000 | + | 7248 625 | x |
| = | 290560 | − | 1816 25 | x | − | 231936 5 | + | 7248 625 | x |
| = | 1220864 5 | − | 38152 625 | x |
| x | = | 1220864 5 | − | 38152 625 | x |
Transposition :
| x | + | 38152 625 | x | = | 1220864 5 |
Combine the items on the left of the equation:
38777 625 | x | = | 1220864 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1220864 5 | ÷ | 38777 625 |
| = | 1220864 5 | × | 625 38777 |
| = | 1220864 | × | 125 38777 |
We obtained :
| x | = | 152608000 38777 |
Convert the result to decimal form :
| x | = | 3935.528793 |