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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 1.98x+26*1.98+2.97(56-x-26) = 116.82 .
Question type: Equation
Solution:Original question:
99 50 | x | + | 26 | × | 99 50 | + | 297 100 | ( | 56 | − | x | − | 26 | ) | = | 5841 50 |
| Left side of the equation = | 99 50 | x | + | 1287 25 | + | 297 100 | ( | 56 | − | x | − | 26 | ) |
99 50 | x | + | 1287 25 | + | 297 100 | ( | 56 | − | x | − | 26 | ) | = | 5841 50 |
| Left side of the equation = | 99 50 | x | + | 1287 25 | + | 297 100 | × | 56 | − | 297 100 | x | − | 297 100 | × | 26 |
| = | 99 50 | x | + | 1287 25 | + | 4158 25 | − | 297 100 | x | − | 3861 50 |
| = | - | 99 100 | x | + | 7029 50 |
| - | 99 100 | x | + | 7029 50 | = | 5841 50 |
Transposition :
| - | 99 100 | x | = | 5841 50 | − | 7029 50 |
Combine the items on the right of the equation:
| - | 99 100 | x | = | - | 594 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
594 25 | = | 99 100 | x |
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 :
99 100 | x | = | 594 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 594 25 | ÷ | 99 100 |
| = | 594 25 | × | 100 99 |
| = | 6 | × | 4 |
We obtained :
| x | = | 24 |