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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-(x÷5.44+20.8+3.85) = 0.05x .
Question type: Equation
Solution:Original question:
| x | − | ( | x | ÷ | 136 25 | + | 104 5 | + | 77 20 | ) | = | 1 20 | x |
| Left side of the equation = | x | − | x | ÷ | 136 25 | − | 104 5 | − | 77 20 |
| = | 111 136 | x | − | 493 20 |
111 136 | x | − | 493 20 | = | 1 20 | x |
Transposition :
111 136 | x | − | 1 20 | x | = | 493 20 |
Combine the items on the left of the equation:
521 680 | x | = | 493 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 493 20 | ÷ | 521 680 |
| = | 493 20 | × | 680 521 |
| = | 493 | × | 34 521 |
We obtained :
| x | = | 16762 521 |
Convert the result to decimal form :
| x | = | 32.172745 |