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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 132.74*（1+r-2*0.995r） = 1+r .
Question type: Equation
Solution:Original question:
6637 50 | ( | 1 | + | r | − | 2 | × | 199 200 | r | ) | = | 1 | + | r |
| Left side of the equation = | 6637 50 | × | 1 | + | 6637 50 | r | − | 6637 50 | × | 2 | × | 199 200 | r |
| = | 6637 50 | + | 6637 50 | r | − | 1320763 5000 | r |
| = | 6637 50 | − | 657063 5000 | r |
6637 50 | − | 657063 5000 | r | = | 1 | + | r |
Transposition :
| - | 657063 5000 | r | − | r | = | 1 | − | 6637 50 |
Combine the items on the left of the equation:
| - | 662063 5000 | r | = | 1 | − | 6637 50 |
Combine the items on the right of the equation:
| - | 662063 5000 | r | = | - | 6587 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
6587 50 | = | 662063 5000 | 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 :
662063 5000 | r | = | 6587 50 |
The coefficient of the unknown number is reduced to 1 :
| r | = | 6587 50 | ÷ | 662063 5000 |
| = | 6587 50 | × | 5000 662063 |
| = | 6587 | × | 100 662063 |
We obtained :
| r | = | 658700 662063 |
Convert the result to decimal form :
| r | = | 0.99492 |