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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （118.39-x）÷（x-94.24） = （1800-1613.42）÷（1613.42-1600） .
Question type: Equation
Solution:Original question:
| ( | 11839 100 | − | x | ) | ÷ | ( | x | − | 2356 25 | ) | = | ( | 1800 | − | 80671 50 | ) | ÷ | ( | 80671 50 | − | 1600 | ) |
| Multiply both sides of the equation by: | ( | x | − | 2356 25 | ) | , | ( | 80671 50 | − | 1600 | ) |
| ( | 11839 100 | − | x | ) | ( | 80671 50 | − | 1600 | ) | = | ( | 1800 | − | 80671 50 | ) | ( | x | − | 2356 25 | ) |
11839 100 | ( | 80671 50 | − | 1600 | ) | − | x | ( | 80671 50 | − | 1600 | ) | = | ( | 1800 | − | 80671 50 | ) | ( | x | − | 2356 25 | ) |
11839 100 | ( | 80671 50 | − | 1600 | ) | − | x | ( | 80671 50 | − | 1600 | ) | = | 1800 | ( | x | − | 2356 25 | ) | − | 80671 50 | ( | x | − | 2356 25 | ) |
11839 100 | × | 80671 50 | − | 11839 100 | × | 1600 | − | x | ( | 80671 50 | − | 1600 | ) | = | 1800 | ( | x | − | 2356 25 | ) | − | 80671 50 | ( | x | − | 2356 25 | ) |
11839 100 | × | 80671 50 | − | 11839 100 | × | 1600 | − | x | ( | 80671 50 | − | 1600 | ) | = | 1800 | x | − | 1800 | × | 2356 25 | − | 80671 50 | ( | x | − | 2356 25 | ) |
955063969 5000 | − | 189424 | − | x | ( | 80671 50 | − | 1600 | ) | = | 1800 | x | − | 169632 | − | 80671 50 | ( | x | − | 2356 25 | ) |
7943969 5000 | − | x | ( | 80671 50 | − | 1600 | ) | = | 1800 | x | − | 169632 | − | 80671 50 | ( | x | − | 2356 25 | ) |
7943969 5000 | − | x | × | 80671 50 | + | x | × | 1600 | = | 1800 | x | − | 169632 | − | 80671 50 | ( | x | − | 2356 25 | ) |
7943969 5000 | − | x | × | 80671 50 | + | x | × | 1600 | = | 1800 | x | − | 169632 | − | 80671 50 | x | + | 80671 50 | × | 2356 25 |
7943969 5000 | − | x | × | 80671 50 | + | x | × | 1600 | = | 1800 | x | − | 169632 | − | 80671 50 | x | + | 95030438 625 |
7943969 5000 | − | 671 50 | x | = | 9329 50 | x | − | 10989562 625 |
Transposition :
| - | 671 50 | x | − | 9329 50 | x | = | - | 10989562 625 | − | 7943969 5000 |
Combine the items on the left of the equation:
| - | 200 | x | = | - | 10989562 625 | − | 7943969 5000 |
the solutions is:
| x1= | 19172093 200000 |
There are 1 solution(s).
解方程的详细方法请参阅：《方程的解法》