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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 24/(300+x) = 15/(120+x) .
Question type: Equation
Solution:Original question:
| 24 | ÷ | ( | 300 | + | x | ) | = | 15 | ÷ | ( | 120 | + | x | ) |
| Multiply both sides of the equation by: | ( | 300 | + | x | ) | , | ( | 120 | + | x | ) |
| 24 | ( | 120 | + | x | ) | = | 15 | ( | 300 | + | x | ) |
| 24 | × | 120 | + | 24 | x | = | 15 | ( | 300 | + | x | ) |
| 24 | × | 120 | + | 24 | x | = | 15 | × | 300 | + | 15 | x |
| 2880 | + | 24 | x | = | 4500 | + | 15 | x |
Transposition :
| 24 | x | − | 15 | x | = | 4500 | − | 2880 |
Combine the items on the left of the equation:
| 9 | x | = | 4500 | − | 2880 |
Combine the items on the right of the equation:
| 9 | x | = | 1620 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1620 | ÷ | 9 |
| = | 1620 | × | 1 9 |
| = | 180 | × | 1 |
We obtained :
| x | = | 180 |