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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 （1+x）/1.0521 = 1+x .
Question type: Equation
Solution:Original question:
| ( | 1 | + | x | ) | ÷ | 10521 10000 | = | 1 | + | x |
| Left side of the equation = | 1 | × | 10000 10521 | + | x | × | 10000 10521 |
| = | 10000 10521 | + | x | × | 10000 10521 |
10000 10521 | + | 10000 10521 | x | = | 1 | + | x |
Transposition :
10000 10521 | x | − | x | = | 1 | − | 10000 10521 |
Combine the items on the left of the equation:
| - | 521 10521 | x | = | 1 | − | 10000 10521 |
Combine the items on the right of the equation:
| - | 521 10521 | x | = | 521 10521 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 521 10521 | = | 521 10521 | 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 :
521 10521 | x | = | - | 521 10521 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 521 10521 | ÷ | 521 10521 |
| = | - | 521 10521 | × | 10521 521 |
| = | - | 521 167 | × | 167 521 |
We obtained :
| x | = | - | 87007 87007 |
By reducing fraction, we can get:
| x | = | - | 1 |