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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/180.3+(1-x)/74.2 = 1/109.86 .
Question type: Equation
Solution:Original question:
| x | ÷ | 1803 10 | + | ( | 1 | − | x | ) | ÷ | 371 5 | = | 1 | ÷ | 5493 50 |
| Left side of the equation = | 10 1803 | x | + | 1 | × | 5 371 | − | x | × | 5 371 |
| = | 10 1803 | x | + | 5 371 | − | x | × | 5 371 |
| = | - | 5305 668913 | x | + | 5 371 |
| - | 5305 668913 | x | + | 5 371 | = | 1 | ÷ | 5493 50 |
| Right side of the equation = | 50 5493 |
| - | 5305 668913 | x | + | 5 371 | = | 50 5493 |
Transposition :
| - | 5305 668913 | x | = | 50 5493 | − | 5 371 |
Combine the items on the right of the equation:
| - | 5305 668913 | x | = | - | 8915 2037903 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
8915 2037903 | = | 5305 668913 | 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 :
5305 668913 | x | = | 8915 2037903 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8915 2037903 | ÷ | 5305 668913 |
| = | 8915 2037903 | × | 668913 5305 |
| = | 1783 1831 | × | 601 1061 |
We obtained :
| x | = | 1071583 1942691 |
Convert the result to decimal form :
| x | = | 0.551597 |