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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 16.68-x+（16.68-x）/1.13*0.1+0.85 = 15.2 .
Question type: Equation
Solution:Original question:
417 25 | − | x | + | ( | 417 25 | − | x | ) | ÷ | 113 100 | × | 1 10 | + | 17 20 | = | 76 5 |
| Left side of the equation = | 417 25 | − | x | + | ( | 417 25 | − | x | ) | × | 10 113 | + | 17 20 |
| = | 1753 100 | − | x | + | ( | 417 25 | − | x | ) | × | 10 113 |
1753 100 | − | x | + | ( | 417 25 | − | x | ) | × | 10 113 | = | 76 5 |
| Left side of the equation = | 1753 100 | − | x | + | 417 25 | × | 10 113 | − | x | × | 10 113 |
| = | 1753 100 | − | x | + | 834 565 | − | x | × | 10 113 |
| = | 214769 11300 | − | 123 113 | x |
214769 11300 | − | 123 113 | x | = | 76 5 |
Transposition :
| - | 123 113 | x | = | 76 5 | − | 214769 11300 |
Combine the items on the right of the equation:
| - | 123 113 | x | = | - | 43009 11300 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
43009 11300 | = | 123 113 | 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 :
123 113 | x | = | 43009 11300 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 43009 11300 | ÷ | 123 113 |
| = | 43009 11300 | × | 113 123 |
We obtained :
| x | = | 4860017 1389900 |
By reducing fraction, we can get:
| x | = | 1049 300 |
Convert the result to decimal form :
| x | = | 3.496667 |