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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 800 = 30.02+7.928/1.1+10.375/（1.1-g）/1.1 .
Question type: Equation
Solution:Original question:
| 800 | = | 1501 50 | + | 991 125 | ÷ | 11 10 | + | 83 8 | ÷ | ( | 11 10 | − | g | ) | ÷ | 11 10 |
| Multiply both sides of the equation by: | ( | 11 10 | − | g | ) |
| 800 | ( | 11 10 | − | g | ) | = | 1501 50 | ( | 11 10 | − | g | ) | + | 991 125 | ÷ | 11 10 | × | ( | 11 10 | − | g | ) | + | 83 8 | ÷ | 11 10 |
| 800 | × | 11 10 | − | 800 | g | = | 1501 50 | ( | 11 10 | − | g | ) | + | 991 125 | ÷ | 11 10 | × | ( | 11 10 | − | g | ) | + | 83 8 | ÷ | 11 10 |
| 800 | × | 11 10 | − | 800 | g | = | 1501 50 | × | 11 10 | − | 1501 50 | g | + | 991 125 | ÷ | 11 10 | × | ( | 11 10 | − | g | ) | + | 83 8 | ÷ | 11 10 |
| 880 | − | 800 | g | = | 16511 500 | − | 1501 50 | g | + | 1982 275 | ( | 11 10 | − | g | ) | + | 415 44 |
| 880 | − | 800 | g | = | 58374 1375 | − | 1501 50 | g | + | 1982 275 | ( | 11 10 | − | g | ) |
| 880 | − | 800 | g | = | 58374 1375 | − | 1501 50 | g | + | 1982 275 | × | 11 10 | − | 1982 275 | g |
| 880 | − | 800 | g | = | 58374 1375 | − | 1501 50 | g | + | 991 125 | − | 1982 275 | g |
| 880 | − | 800 | g | = | 2771 55 | − | 819 22 | g |
Transposition :
| - | 800 | g | + | 819 22 | g | = | 2771 55 | − | 880 |
Combine the items on the left of the equation:
| - | 16781 22 | g | = | 2771 55 | − | 880 |
Combine the items on the right of the equation:
| - | 16781 22 | g | = | - | 45629 55 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
45629 55 | = | 16781 22 | 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 :
16781 22 | g | = | 45629 55 |
The coefficient of the unknown number is reduced to 1 :
| g | = | 45629 55 | ÷ | 16781 22 |
| = | 45629 55 | × | 22 16781 |
| = | 45629 5 | × | 2 16781 |
We obtained :
| g | = | 91258 83905 |
Convert the result to decimal form :
| g | = | 1.087635 |