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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 11% = 0.6*（1+x）/11.42+x .
Question type: Equation
Solution:Original question:
11 100 | = | 3 5 | ( | 1 | + | x | ) | ÷ | 571 50 | + | x |
| Right side of the equation = | 30 571 | ( | 1 | + | x | ) | + | x |
11 100 | = | 30 571 | ( | 1 | + | x | ) | + | x |
| Right side of the equation = | 30 571 | × | 1 | + | 30 571 | x | + | x |
| = | 30 571 | + | 30 571 | x | + | x |
| = | 30 571 | + | 601 571 | x |
11 100 | = | 30 571 | + | 601 571 | x |
Transposition :
| - | 601 571 | x | = | 30 571 | − | 11 100 |
Combine the items on the right of the equation:
| - | 601 571 | x | = | - | 3281 57100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3281 57100 | = | 601 571 | 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 :
601 571 | x | = | 3281 57100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3281 57100 | ÷ | 601 571 |
| = | 3281 57100 | × | 571 601 |
We obtained :
| x | = | 1873451 34317100 |
By reducing fraction, we can get:
| x | = | 3281 60100 |
Convert the result to decimal form :
| x | = | 0.054592 |