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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 (7%-X)/(X-8%) = (4.1002-4)/(4-3.9927) .
Question type: Equation
Solution:Original question:
| ( | 7 100 | − | X | ) | ÷ | ( | X | − | 8 100 | ) | = | ( | 20501 5000 | − | 4 | ) | ÷ | ( | 4 | − | 39927 10000 | ) |
| Multiply both sides of the equation by: | ( | X | − | 8 100 | ) | , | ( | 4 | − | 39927 10000 | ) |
| ( | 7 100 | − | X | ) | ( | 4 | − | 39927 10000 | ) | = | ( | 20501 5000 | − | 4 | ) | ( | X | − | 8 100 | ) |
7 100 | ( | 4 | − | 39927 10000 | ) | − | X | ( | 4 | − | 39927 10000 | ) | = | ( | 20501 5000 | − | 4 | ) | ( | X | − | 8 100 | ) |
7 100 | ( | 4 | − | 39927 10000 | ) | − | X | ( | 4 | − | 39927 10000 | ) | = | 20501 5000 | ( | X | − | 8 100 | ) | − | 4 | ( | X | − | 8 100 | ) |
7 100 | × | 4 | − | 7 100 | × | 39927 10000 | − | X | ( | 4 | − | 39927 10000 | ) | = | 20501 5000 | ( | X | − | 8 100 | ) | − | 4 | ( | X | − | 8 100 | ) |
7 100 | × | 4 | − | 7 100 | × | 39927 10000 | − | X | ( | 4 | − | 39927 10000 | ) | = | 20501 5000 | X | − | 20501 5000 | × | 8 100 | − | 4 | ( | X | − | 8 100 | ) |
7 25 | − | 279489 1000000 | − | X | ( | 4 | − | 39927 10000 | ) | = | 20501 5000 | X | − | 20501 62500 | − | 4 | ( | X | − | 8 100 | ) |
511 1000000 | − | X | ( | 4 | − | 39927 10000 | ) | = | 20501 5000 | X | − | 20501 62500 | − | 4 | ( | X | − | 8 100 | ) |
511 1000000 | − | X | × | 4 | + | X | × | 39927 10000 | = | 20501 5000 | X | − | 20501 62500 | − | 4 | ( | X | − | 8 100 | ) |
511 1000000 | − | X | × | 4 | + | X | × | 39927 10000 | = | 20501 5000 | X | − | 20501 62500 | − | 4 | X | + | 4 | × | 8 100 |
511 1000000 | − | X | × | 4 | + | X | × | 39927 10000 | = | 20501 5000 | X | − | 20501 62500 | − | 4 | X | + | 8 25 |
511 1000000 | − | 73 10000 | X | = | 501 5000 | X | − | 501 62500 |
Transposition :
| - | 73 10000 | X | − | 501 5000 | X | = | - | 501 62500 | − | 511 1000000 |
Combine the items on the left of the equation:
| - | 43 400 | X | = | - | 501 62500 | − | 511 1000000 |