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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 176 = 66.67/（1＋r）1＋66.67/（1＋r）2＋66.66/（1＋r）3 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 176 = 66.67/（1＋r）1＋66.67/（1＋r）2＋66.66/（1＋r）3 .
Question type: Equation
Solution:Original question:
| 176 | = | 6667 100 | ÷ | ( | 1 | + | r | ) | × | 1 | + | 6667 100 | ÷ | ( | 1 | + | r | ) | × | 2 | + | 3333 50 | ÷ | ( | 1 | + | r | ) | × | 3 |
| Multiply both sides of the equation by: | ( | 1 | + | r | ) |
| 176 | ( | 1 | + | r | ) | = | 6667 100 | × | 1 | + | 6667 100 | × | 2 | + | 3333 50 | × | 3 |
| 176 | × | 1 | + | 176 | r | = | 6667 100 | × | 1 | + | 6667 100 | × | 2 | + | 3333 50 | × | 3 |
| 176 | + | 176 | r | = | 6667 100 | + | 6667 50 | + | 9999 50 |
| 176 | + | 176 | r | = | 39999 100 |
Transposition :
| 176 | r | = | 39999 100 | − | 176 |
Combine the items on the right of the equation:
| 176 | r | = | 22399 100 |
The coefficient of the unknown number is reduced to 1 :
| r | = | 22399 100 | ÷ | 176 |
| = | 22399 100 | × | 1 176 |
We obtained :
| r | = | 22399 17600 |
Convert the result to decimal form :
| r | = | 1.27267 |