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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 (x-100)/100+24% = (x-85)/85 .
Question type: Equation
Solution:Original question:
| ( | x | − | 100 | ) | ÷ | 100 | + | 24 100 | = | ( | x | − | 85 | ) | ÷ | 85 |
| Left side of the equation = | x | × | 1 100 | − | 100 | × | 1 100 | + | 24 100 |
| = | x | × | 1 100 | − | 1 | + | 24 100 |
| = | 1 100 | x | − | 19 25 |
1 100 | x | − | 19 25 | = | ( | x | − | 85 | ) | ÷ | 85 |
| Right side of the equation = | x | × | 1 85 | − | 85 | × | 1 85 |
| = | x | × | 1 85 | − | 1 |
1 100 | x | − | 19 25 | = | 1 85 | x | − | 1 |
Transposition :
1 100 | x | − | 1 85 | x | = | - | 1 | + | 19 25 |
Combine the items on the left of the equation:
| - | 3 1700 | x | = | - | 1 | + | 19 25 |
Combine the items on the right of the equation:
| - | 3 1700 | x | = | - | 6 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
6 25 | = | 3 1700 | 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 :
3 1700 | x | = | 6 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6 25 | ÷ | 3 1700 |
| = | 6 25 | × | 1700 3 |
| = | 2 | × | 68 |
We obtained :
| x | = | 136 |