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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 141.6*（1+r-2*0.995r） = 1+r .
Question type: Equation
Solution:Original question:
708 5 | ( | 1 | + | r | − | 2 | × | 199 200 | r | ) | = | 1 | + | r |
| Left side of the equation = | 708 5 | × | 1 | + | 708 5 | r | − | 708 5 | × | 2 | × | 199 200 | r |
| = | 708 5 | + | 708 5 | r | − | 35223 125 | r |
| = | 708 5 | − | 17523 125 | r |
708 5 | − | 17523 125 | r | = | 1 | + | r |
Transposition :
| - | 17523 125 | r | − | r | = | 1 | − | 708 5 |
Combine the items on the left of the equation:
| - | 17648 125 | r | = | 1 | − | 708 5 |
Combine the items on the right of the equation:
| - | 17648 125 | r | = | - | 703 5 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
703 5 | = | 17648 125 | 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 :
17648 125 | r | = | 703 5 |
The coefficient of the unknown number is reduced to 1 :
| r | = | 703 5 | ÷ | 17648 125 |
| = | 703 5 | × | 125 17648 |
| = | 703 | × | 25 17648 |
We obtained :
| r | = | 17575 17648 |
Convert the result to decimal form :
| r | = | 0.995864 |