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Fractions calculation：
Enter the fractions calculation formula directly and click the "Next" button to get the calculation answer.
It does not support mathematical functions (including trigonometric functions) and can only calculate the addition, subtraction, multiplication and division of two fractions. The fraction line is indicated by "/".
Enter the fractions calculation formula directly and click the "Next" button to get the calculation answer.
It does not support mathematical functions (including trigonometric functions) and can only calculate the addition, subtraction, multiplication and division of two fractions. The fraction line is indicated by "/".
Current location：Mathematical operation > History of fraction calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 14/x+8 = 10/(3x+24)+4/x .
Question type: Equation
Solution:Original question:
| 14 | ÷ | x | + | 8 | = | 10 | ÷ | ( | 3 | x | + | 24 | ) | + | 4 | ÷ | x |
| Multiply both sides of the equation by: | x | , | ( | 3 | x | + | 24 | ) |
| 14 | ( | 3 | x | + | 24 | ) | + | 8 | x | ( | 3 | x | + | 24 | ) | = | 10 | x | + | 4 | ÷ | 1 | × | 1 | ( | 3 | x | + | 24 | ) |
| 14 | × | 3 | x | + | 14 | × | 24 | + | 8 | x | ( | 3 | x | + | 24 | ) | = | 10 | x | + | 4 | ÷ | 1 | × | 1 | ( | 3 | x | + | 24 | ) |
| 14 | × | 3 | x | + | 14 | × | 24 | + | 8 | x | ( | 3 | x | + | 24 | ) | = | 10 | x | + | 4 | ÷ | 1 | × | 1 | × | 3 | x | + | 4 | ÷ | 1 | × | 1 | × | 24 |
| 42 | x | + | 336 | + | 8 | x | ( | 3 | x | + | 24 | ) | = | 10 | x | + | 12 | x | + | 96 |
| 42 | x | + | 336 | + | 8 | x | ( | 3 | x | + | 24 | ) | = | 22 | x | + | 96 |
| 42 | x | + | 336 | + | 8 | x | × | 3 | x | + | 8 | x | × | 24 | = | 22 | x | + | 96 |
| 42 | x | + | 336 | + | 24 | x | x | + | 192 | x | = | 22 | x | + | 96 |
| 234 | x | + | 336 | + | 24 | x | x | = | 22 | x | + | 96 |
After the equation is converted into a general formula, it is converted into:
( 2x + 15 )( 3x + 4 )=0
From
2x + 15 = 0
3x + 4 = 0
it is concluded that:：
| x1= | - | 15 2 |
| x2= | - | 4 3 |
There are 2 solution(s).
解一元二次方程的详细方法请参阅：《一元二次方程的解法》