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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+5000）÷0.75÷1.67 = x .
Question type: Equation
Solution:Original question:
| ( | x | + | 5000 | ) | ÷ | 3 4 | ÷ | 167 100 | = | x |
| Left side of the equation = | ( | x | + | 5000 | ) | × | 400 501 |
| ( | x | + | 5000 | ) | × | 400 501 | = | x |
| Left side of the equation = | x | × | 400 501 | + | 5000 | × | 400 501 |
| = | x | × | 400 501 | + | 2000000 501 |
400 501 | x | + | 2000000 501 | = | x |
Transposition :
400 501 | x | − | x | = | - | 2000000 501 |
Combine the items on the left of the equation:
| - | 101 501 | x | = | - | 2000000 501 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2000000 501 | = | 101 501 | 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 :
101 501 | x | = | 2000000 501 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2000000 501 | ÷ | 101 501 |
| = | 2000000 501 | × | 501 101 |
| = | 2000000 167 | × | 167 101 |
We obtained :
| x | = | 334000000 16867 |
Convert the result to decimal form :
| x | = | 19801.980198 |