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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 0.3195 = （3.21*（1+x））/3.1+x .
Question type: Equation
Solution:Original question:
639 2000 | = | ( | 321 100 | ( | 1 | + | x | ) | ) | ÷ | 31 10 | + | x |
| Right side of the equation = | 321 100 | ( | 1 | + | x | ) | × | 10 31 | + | x |
| = | 321 310 | ( | 1 | + | x | ) | + | x |
| = | 321 310 | × | 1 | + | 321 310 | x | + | x |
| = | 321 310 | + | 321 310 | x | + | x |
| = | 321 310 | + | 631 310 | x |
639 2000 | = | 321 310 | + | 631 310 | x |
Transposition :
| - | 631 310 | x | = | 321 310 | − | 639 2000 |
Combine the items on the right of the equation:
| - | 631 310 | x | = | 44391 62000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 44391 62000 | = | 631 310 | 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 :
631 310 | x | = | - | 44391 62000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 44391 62000 | ÷ | 631 310 |
| = | - | 44391 62000 | × | 310 631 |
| = | - | 44391 200 | × | 1 631 |
We obtained :
| x | = | - | 44391 126200 |
Convert the result to decimal form :
| x | = | - 0.351751 |