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It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x/0.182 = (x-18)/0.018 .
Question type: Equation
Solution:Original question:
| x | ÷ | 91 500 | = | ( | x | − | 18 | ) | ÷ | 9 500 |
| Right side of the equation = | x | × | 500 9 | − | 18 | × | 500 9 |
| = | x | × | 500 9 | − | 1000 |
500 91 | x | = | 500 9 | x | − | 1000 |
Transposition :
500 91 | x | − | 500 9 | x | = | - | 1000 |
Combine the items on the left of the equation:
| - | 41000 819 | x | = | - | 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 1000 | = | 41000 819 | 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 :
41000 819 | x | = | 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1000 | ÷ | 41000 819 |
| = | 1000 | × | 819 41000 |
| = | 1 | × | 819 41 |
We obtained :
| x | = | 819 41 |
Convert the result to decimal form :
| x | = | 19.97561 |