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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 1/312.2-1/（x-80） = 1/88-1/（x-390） .
Question type: Equation
Solution:Original question:
| 1 | ÷ | 1561 5 | − | 1 | ÷ | ( | x | − | 80 | ) | = | 1 | ÷ | 88 | − | 1 | ÷ | ( | x | − | 390 | ) |
| Multiply both sides of the equation by: | ( | x | − | 80 | ) | , | ( | x | − | 390 | ) |
| 1 | ÷ | 1561 5 | × | ( | x | − | 80 | ) | ( | x | − | 390 | ) | − | 1 | ( | x | − | 390 | ) | = | 1 | ÷ | 88 | × | ( | x | − | 80 | ) | ( | x | − | 390 | ) | − | 1 | ( | x | − | 80 | ) |
| 1 | ÷ | 1561 5 | × | x | ( | x | − | 390 | ) | − | 1 | ÷ | 1561 5 | × | 80 | ( | x | − | 390 | ) | − | 1 | ( | x | − | 390 | ) | = | 1 | ÷ | 88 | × | ( | x | − | 80 | ) | ( | x | − | 390 | ) | − | 1 | ( | x | − | 80 | ) |
| 1 | ÷ | 1561 5 | × | x | ( | x | − | 390 | ) | − | 1 | ÷ | 1561 5 | × | 80 | ( | x | − | 390 | ) | − | 1 | ( | x | − | 390 | ) | = | 1 | ÷ | 88 | × | x | ( | x | − | 390 | ) | − | 1 | ÷ | 88 | × | 80 | ( | x | − | 390 | ) | − | 1 | ( | x | − | 80 | ) |
5 1561 | x | ( | x | − | 390 | ) | − | 400 1561 | ( | x | − | 390 | ) | − | 1 | ( | x | − | 390 | ) | = | 1 88 | x | ( | x | − | 390 | ) | − | 10 11 | ( | x | − | 390 | ) | − | 1 | ( | x | − | 80 | ) |
5 1561 | x | x | − | 5 1561 | x | × | 390 | − | 400 1561 | ( | x | − | 390 | ) | − | 1 | ( | x | − | 390 | ) | = | 1 88 | x | ( | x | − | 390 | ) | − | 10 11 | ( | x | − | 390 | ) | − | 1 | ( | x | − | 80 | ) |
5 1561 | x | x | − | 5 1561 | x | × | 390 | − | 400 1561 | ( | x | − | 390 | ) | − | 1 | ( | x | − | 390 | ) | = | 1 88 | x | x | − | 1 88 | x | × | 390 | − | 10 11 | ( | x | − | 390 | ) | − | 1 | ( | x | − | 80 | ) |
5 1561 | x | x | − | 1950 1561 | x | − | 400 1561 | ( | x | − | 390 | ) | − | 1 | ( | x | − | 390 | ) | = | 1 88 | x | x | − | 195 44 | x | − | 10 11 | ( | x | − | 390 | ) | − | 1 | ( | x | − | 80 | ) |
5 1561 | x | x | − | 1950 1561 | x | − | 400 1561 | x | + | 400 1561 | × | 390 | − | 1 | ( | x | − | 390 | ) | = | 1 88 | x | x | − | 195 44 | x | − | 10 11 | ( | x | − | 390 | ) | − | 1 | ( | x | − | 80 | ) |
5 1561 | x | x | − | 1950 1561 | x | − | 400 1561 | x | + | 400 1561 | × | 390 | − | 1 | ( | x | − | 390 | ) | = | 1 88 | x | x | − | 195 44 | x | − | 10 11 | x | + | 10 11 | × | 390 | − | 1 | ( | x | − | 80 | ) |
5 1561 | x | x | − | 1950 1561 | x | − | 400 1561 | x | + | 156000 1561 | − | 1 | ( | x | − | 390 | ) | = | 1 88 | x | x | − | 195 44 | x | − | 10 11 | x | + | 3900 11 | − | 1 | ( | x | − | 80 | ) |
5 1561 | x | x | − | 2350 1561 | x | + | 156000 1561 | − | 1 | ( | x | − | 390 | ) | = | 1 88 | x | x | − | 235 44 | x | + | 3900 11 | − | 1 | ( | x | − | 80 | ) |
5 1561 | x | x | − | 2350 1561 | x | + | 156000 1561 | − | 1 | x | + | 1 | × | 390 | = | 1 88 | x | x | − | 235 44 | x | + | 3900 11 | − | 1 | ( | x | − | 80 | ) |
5 1561 | x | x | − | 2350 1561 | x | + | 156000 1561 | − | 1 | x | + | 1 | × | 390 | = | 1 88 | x | x | − | 235 44 | x | + | 3900 11 | − | 1 | x | + | 1 | × | 80 |
5 1561 | x | x | − | 2350 1561 | x | + | 156000 1561 | − | 1 | x | + | 390 | = | 1 88 | x | x | − | 235 44 | x | + | 3900 11 | − | 1 | x | + | 80 |
5 1561 | x | x | − | 3911 1561 | x | + | 764790 1561 | = | 1 88 | x | x | − | 279 44 | x | + | 4780 11 |
| x1= | - | 14023257 1000000 |
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》