Equations
Unfold
Math OP
Fold
Linear algebra
Unfold
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 （24.2-x）/x*100% = 1.7% .
Question type: Equation
Solution:Original question:
| ( | 121 5 | − | x | ) | ÷ | x | × | 100 100 | = | 17 1000 |
| Multiply both sides of the equation by: | x |
| ( | 121 5 | − | x | ) | × | 100 100 | = | 17 1000 | x |
121 5 | × | 100 100 | − | x | × | 100 100 | = | 17 1000 | x |
121 5 | − | x | × | 100 100 | = | 17 1000 | x |
Transposition :
| - | 100 100 | x | − | 17 1000 | x | = | - | 121 5 |
Combine the items on the left of the equation:
| - | 1017 1000 | x | = | - | 121 5 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
121 5 | = | 1017 1000 | 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 :
1017 1000 | x | = | 121 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 121 5 | ÷ | 1017 1000 |
| = | 121 5 | × | 1000 1017 |
| = | 121 | × | 200 1017 |
We obtained :
| x | = | 24200 1017 |
Convert the result to decimal form :
| x | = | 23.795477 |