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Solution inequality：
Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
It supports mathematical functions (including trigonometric functions).
Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation X/(X-51.75) = 2.71 .
Question type: Equation
Solution:Original question:
| X | ÷ | ( | X | − | 207 4 | ) | = | 271 100 |
| Multiply both sides of the equation by: | ( | X | − | 207 4 | ) |
| X | = | 271 100 | ( | X | − | 207 4 | ) |
| X | = | 271 100 | X | − | 271 100 | × | 207 4 |
| X | = | 271 100 | X | − | 56097 400 |
Transposition :
| X | − | 271 100 | X | = | - | 56097 400 |
Combine the items on the left of the equation:
| - | 171 100 | X | = | - | 56097 400 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
56097 400 | = | 171 100 | 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 :
171 100 | X | = | 56097 400 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 56097 400 | ÷ | 171 100 |
| = | 56097 400 | × | 100 171 |
| = | 6233 4 | × | 1 19 |
We obtained :
| X | = | 6233 76 |
Convert the result to decimal form :
| X | = | 82.013158 |