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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 4.7%*(2/(1+2))*(1-21%)+R*(1/(1+2)) = 7.8% .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
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 4.7%*(2/(1+2))*(1-21%)+R*(1/(1+2)) = 7.8% .
Question type: Equation
Solution:Original question:
47 1000 | ( | 2 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | − | 21 100 | ) | + | R | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | = | 39 500 |
47 1000 | × | 2 | ÷ | ( | 1 | + | 2 | ) | × | ( | 1 | − | 21 100 | ) | + | R | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | = | 39 500 |
47 500 | ÷ | ( | 1 | + | 2 | ) | × | ( | 1 | − | 21 100 | ) | + | R | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | = | 39 500 |
| Multiply both sides of the equation by: | ( | 1 | + | 2 | ) |
47 500 | ( | 1 | − | 21 100 | ) | + | R | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | + | 2 | ) | = | 39 500 | ( | 1 | + | 2 | ) |
47 500 | × | 1 | − | 47 500 | × | 21 100 | + | R | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | + | 2 | ) | = | 39 500 | ( | 1 | + | 2 | ) |
47 500 | × | 1 | − | 47 500 | × | 21 100 | + | R | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | + | 2 | ) | = | 39 500 | × | 1 | + | 39 500 | × | 2 |
47 500 | − | 987 50000 | + | R | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | + | 2 | ) | = | 39 500 | + | 39 250 |
3713 50000 | + | R | ( | 1 | ÷ | ( | 1 | + | 2 | ) | ) | ( | 1 | + | 2 | ) | = | 117 500 |
3713 50000 | + | R | × | 1 | ÷ | ( | 1 | + | 2 | ) | × | ( | 1 | + | 2 | ) | = | 117 500 |
| Multiply both sides of the equation by: | ( | 1 | + | 2 | ) |
3713 50000 | ( | 1 | + | 2 | ) | + | R | × | 1 | ( | 1 | + | 2 | ) | = | 117 500 | ( | 1 | + | 2 | ) |
3713 50000 | × | 1 | + | 3713 50000 | × | 2 | + | R | × | 1 | ( | 1 | + | 2 | ) | = | 117 500 | ( | 1 | + | 2 | ) |
3713 50000 | × | 1 | + | 3713 50000 | × | 2 | + | R | × | 1 | ( | 1 | + | 2 | ) | = | 117 500 | × | 1 | + | 117 500 | × | 2 |
3713 50000 | + | 3713 25000 | + | R | × | 1 | ( | 1 | + | 2 | ) | = | 117 500 | + | 117 250 |
11139 50000 | + | R | × | 1 | ( | 1 | + | 2 | ) | = | 351 500 |
11139 50000 | + | R | × | 1 | × | 1 | + | R | × | 1 | × | 2 | = | 351 500 |
11139 50000 | + | R | × | 1 | + | R | × | 2 | = | 351 500 |
11139 50000 | + | 3 | R | = | 351 500 |
Transposition :
| 3 | R | = | 351 500 | − | 11139 50000 |
Combine the items on the right of the equation:
| 3 | R | = | 23961 50000 |
The coefficient of the unknown number is reduced to 1 :
| R | = | 23961 50000 | ÷ | 3 |
| = | 23961 50000 | × | 1 3 |
| = | 7987 50000 | × | 1 |
We obtained :
| R | = | 7987 50000 |
Convert the result to decimal form :
| R | = | 0.15974 |