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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 11% = 0.6*(1+g)/[12*(1-6%)]+g .
Question type: Equation
Solution:Original question:
11 100 | = | 3 5 | ( | 1 | + | g | ) | ÷ | ( | 12 | ( | 1 | − | 6 100 | ) | ) | + | g |
| Multiply both sides of the equation by: | ( | 12 | ( | 1 | − | 6 100 | ) | ) |
11 100 | ( | 12 | ( | 1 | − | 6 100 | ) | ) | = | 3 5 | ( | 1 | + | g | ) | + | g | ( | 12 | ( | 1 | − | 6 100 | ) | ) |
11 100 | × | 12 | ( | 1 | − | 6 100 | ) | = | 3 5 | ( | 1 | + | g | ) | + | g | ( | 12 | ( | 1 | − | 6 100 | ) | ) |
11 100 | × | 12 | ( | 1 | − | 6 100 | ) | = | 3 5 | × | 1 | + | 3 5 | g | + | g | ( | 12 | ( | 1 | − | 6 100 | ) | ) |
33 25 | ( | 1 | − | 6 100 | ) | = | 3 5 | + | 3 5 | g | + | g | ( | 12 | ( | 1 | − | 6 100 | ) | ) |
33 25 | × | 1 | − | 33 25 | × | 6 100 | = | 3 5 | + | 3 5 | g | + | g | ( | 12 | ( | 1 | − | 6 100 | ) | ) |
33 25 | × | 1 | − | 33 25 | × | 6 100 | = | 3 5 | + | 3 5 | g | + | g | × | 12 | ( | 1 | − | 6 100 | ) |
33 25 | − | 99 1250 | = | 3 5 | + | 3 5 | g | + | g | × | 12 | ( | 1 | − | 6 100 | ) |
1551 1250 | = | 3 5 | + | 3 5 | g | + | g | × | 12 | ( | 1 | − | 6 100 | ) |
1551 1250 | = | 3 5 | + | 3 5 | g | + | g | × | 12 | × | 1 | − | g | × | 12 | × | 6 100 |
1551 1250 | = | 3 5 | + | 3 5 | g | + | g | × | 12 | − | g | × | 18 25 |
1551 1250 | = | 3 5 | + | 297 25 | g |
Transposition :
| - | 297 25 | g | = | 3 5 | − | 1551 1250 |
Combine the items on the right of the equation:
| - | 297 25 | g | = | - | 801 1250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
801 1250 | = | 297 25 | g |
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 :
297 25 | g | = | 801 1250 |
The coefficient of the unknown number is reduced to 1 :
| g | = | 801 1250 | ÷ | 297 25 |
| = | 801 1250 | × | 25 297 |
| = | 89 50 | × | 1 33 |
We obtained :
| g | = | 89 1650 |
Convert the result to decimal form :
| g | = | 0.053939 |