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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 r*12.5*1.67*0.4/(1-r*12.5*1.67*0.4) = 0.3 .
Question type: Equation
Solution:Original question:
| r | × | 25 2 | × | 167 100 | × | 2 5 | ÷ | ( | 1 | − | r | × | 25 2 | × | 167 100 | × | 2 5 | ) | = | 3 10 |
| Multiply both sides of the equation by: | ( | 1 | − | r | × | 25 2 | × | 167 100 | × | 2 5 | ) |
| r | × | 25 2 | × | 167 100 | × | 2 5 | = | 3 10 | ( | 1 | − | r | × | 25 2 | × | 167 100 | × | 2 5 | ) |
| r | × | 25 2 | × | 167 100 | × | 2 5 | = | 3 10 | × | 1 | − | 3 10 | r | × | 25 2 | × | 167 100 | × | 2 5 |
| r | × | 167 20 | = | 3 10 | − | 501 200 | r |
Transposition :
167 20 | r | + | 501 200 | r | = | 3 10 |
Combine the items on the left of the equation:
2171 200 | r | = | 3 10 |
The coefficient of the unknown number is reduced to 1 :
| r | = | 3 10 | ÷ | 2171 200 |
| = | 3 10 | × | 200 2171 |
| = | 3 | × | 20 2171 |
We obtained :
| r | = | 60 2171 |
Convert the result to decimal form :
| r | = | 0.027637 |