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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 80*(1-(m/57)*(1-2.94/3.82)) = 71.94 .
Question type: Equation
Solution:Original question:
| 80 | ( | 1 | − | ( | m | ÷ | 57 | ) | ( | 1 | − | 147 50 | ÷ | 191 50 | ) | ) | = | 3597 50 |
| Left side of the equation = | 80 | × | 1 | − | 80 | ( | m | ÷ | 57 | ) | ( | 1 | − | 147 50 | ÷ | 191 50 | ) |
| = | 80 | − | 80 | ( | m | ÷ | 57 | ) | ( | 1 | − | 147 50 | ÷ | 191 50 | ) |
| = | 80 | − | 80 | m | ÷ | 57 | × | ( | 1 | − | 147 50 | ÷ | 191 50 | ) |
| = | 80 | − | 80 57 | m | ( | 1 | − | 147 50 | ÷ | 191 50 | ) |
| = | 80 | − | 80 57 | m | × | 1 | + | 80 57 | m | × | 147 50 | ÷ | 191 50 |
| = | 80 | − | 80 57 | m | + | 3920 3629 | m |
| = | 80 | − | 3520 10887 | m |
| 80 | − | 3520 10887 | m | = | 3597 50 |
Transposition :
| - | 3520 10887 | m | = | 3597 50 | − | 80 |
Combine the items on the right of the equation:
| - | 3520 10887 | m | = | - | 403 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
403 50 | = | 3520 10887 | m |
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 :
3520 10887 | m | = | 403 50 |
The coefficient of the unknown number is reduced to 1 :
| m | = | 403 50 | ÷ | 3520 10887 |
| = | 403 50 | × | 10887 3520 |
We obtained :
| m | = | 4387461 176000 |
Convert the result to decimal form :
| m | = | 24.928756 |