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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/10.04+(1-x)/2.91 = 1/5.332 .
Question type: Equation
Solution:Original question:
| x | ÷ | 251 25 | + | ( | 1 | − | x | ) | ÷ | 291 100 | = | 1 | ÷ | 1333 250 |
| Left side of the equation = | 25 251 | x | + | 1 | × | 100 291 | − | x | × | 100 291 |
| = | 25 251 | x | + | 100 291 | − | x | × | 100 291 |
| = | - | 17825 73041 | x | + | 100 291 |
| - | 17825 73041 | x | + | 100 291 | = | 1 | ÷ | 1333 250 |
| Right side of the equation = | 250 1333 |
| - | 17825 73041 | x | + | 100 291 | = | 250 1333 |
Transposition :
| - | 17825 73041 | x | = | 250 1333 | − | 100 291 |
Combine the items on the right of the equation:
| - | 17825 73041 | x | = | - | 60550 387903 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
60550 387903 | = | 17825 73041 | 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 :
17825 73041 | x | = | 60550 387903 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 60550 387903 | ÷ | 17825 73041 |
| = | 60550 387903 | × | 73041 17825 |
| = | 2422 1333 | × | 251 713 |
We obtained :
| x | = | 607922 950429 |
Convert the result to decimal form :
| x | = | 0.639629 |