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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 2% = x/（1.2+x）*100% .
Question type: Equation
Solution:Original question:
2 100 | = | x | ÷ | ( | 6 5 | + | x | ) | × | 100 100 |
| Multiply both sides of the equation by: | ( | 6 5 | + | x | ) |
2 100 | ( | 6 5 | + | x | ) | = | x | × | 100 100 |
2 100 | × | 6 5 | + | 2 100 | x | = | x | × | 100 100 |
3 125 | + | 2 100 | x | = | x | × | 100 100 |
Transposition :
2 100 | x | − | 100 100 | x | = | - | 3 125 |
Combine the items on the left of the equation:
| - | 49 50 | x | = | - | 3 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3 125 | = | 49 50 | 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 :
49 50 | x | = | 3 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3 125 | ÷ | 49 50 |
| = | 3 125 | × | 50 49 |
| = | 3 5 | × | 2 49 |
We obtained :
| x | = | 6 245 |
Convert the result to decimal form :
| x | = | 0.02449 |