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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 106.289*（1-r） = 1+r .
Question type: Equation
Solution:Original question:
106289 1000 | ( | 1 | − | r | ) | = | 1 | + | r |
| Left side of the equation = | 106289 1000 | × | 1 | − | 106289 1000 | r |
| = | 106289 1000 | − | 106289 1000 | r |
106289 1000 | − | 106289 1000 | r | = | 1 | + | r |
Transposition :
| - | 106289 1000 | r | − | r | = | 1 | − | 106289 1000 |
Combine the items on the left of the equation:
| - | 107289 1000 | r | = | 1 | − | 106289 1000 |
Combine the items on the right of the equation:
| - | 107289 1000 | r | = | - | 105289 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
105289 1000 | = | 107289 1000 | r |
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 :
107289 1000 | r | = | 105289 1000 |
The coefficient of the unknown number is reduced to 1 :
| r | = | 105289 1000 | ÷ | 107289 1000 |
| = | 105289 1000 | × | 1000 107289 |
| = | 105289 | × | 1 107289 |
We obtained :
| r | = | 105289 107289 |
Convert the result to decimal form :
| r | = | 0.981359 |