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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 （30-30/1.06） = （30-X）-(30-X)/1.06+X-X/1.01+30*80%-X .
Question type: Equation
Solution:Original question:
| ( | 30 | − | 30 | ÷ | 53 50 | ) | = | ( | 30 | − | X | ) | − | ( | 30 | − | X | ) | ÷ | 53 50 | + | X | − | X | ÷ | 101 100 | + | 30 | × | 80 100 | − | X |
| Left side of the equation = | 30 | − | 30 | ÷ | 53 50 |
| = | 30 | − | 1500 53 |
| = | 90 53 |
90 53 | = | ( | 30 | − | X | ) | − | ( | 30 | − | X | ) | ÷ | 53 50 | + | X | − | X | ÷ | 101 100 | + | 30 | × | 80 100 | − | X |
| Right side of the equation = | ( | 30 | − | X | ) | − | ( | 30 | − | X | ) | × | 50 53 | + | X | − | X | × | 100 101 | + | 24 | − | X |
| = | ( | 30 | − | X | ) | − | ( | 30 | − | X | ) | × | 50 53 | − | 100 101 | X | + | 24 |
90 53 | = | ( | 30 | − | X | ) | − | ( | 30 | − | X | ) | × | 50 53 | − | 100 101 | X | + | 24 |
| Right side of the equation = | 30 | − | X | − | ( | 30 | − | X | ) | × | 50 53 | − | 100 101 | X | + | 24 |
| = | 54 | − | 201 101 | X | − | ( | 30 | − | X | ) | × | 50 53 |
| = | 54 | − | 201 101 | X | − | 30 | × | 50 53 | + | X | × | 50 53 |
| = | 54 | − | 201 101 | X | − | 1500 53 | + | X | × | 50 53 |
| = | 1362 53 | − | 5603 5353 | X |
90 53 | = | 1362 53 | − | 5603 5353 | X |
Transposition :
5603 5353 | X | = | 1362 53 | − | 90 53 |
Combine the items on the right of the equation:
5603 5353 | X | = | 24 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 24 | ÷ | 5603 5353 |
| = | 24 | × | 5353 5603 |
We obtained :
| X | = | 128472 5603 |
Convert the result to decimal form :
| X | = | 22.929145 |