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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 （x-5）/（6-5） = （1000-947.7）/（1088.825-947.7） .
Question type: Equation
Solution:Original question:
| ( | x | − | 5 | ) | ÷ | ( | 6 | − | 5 | ) | = | ( | 1000 | − | 9477 10 | ) | ÷ | ( | 43553 40 | − | 9477 10 | ) |
| Multiply both sides of the equation by: | ( | 6 | − | 5 | ) | , | ( | 43553 40 | − | 9477 10 | ) |
| ( | x | − | 5 | ) | ( | 43553 40 | − | 9477 10 | ) | = | ( | 1000 | − | 9477 10 | ) | ( | 6 | − | 5 | ) |
| x | ( | 43553 40 | − | 9477 10 | ) | − | 5 | ( | 43553 40 | − | 9477 10 | ) | = | ( | 1000 | − | 9477 10 | ) | ( | 6 | − | 5 | ) |
| x | ( | 43553 40 | − | 9477 10 | ) | − | 5 | ( | 43553 40 | − | 9477 10 | ) | = | 1000 | ( | 6 | − | 5 | ) | − | 9477 10 | ( | 6 | − | 5 | ) |
| x | × | 43553 40 | − | x | × | 9477 10 | − | 5 | ( | 43553 40 | − | 9477 10 | ) | = | 1000 | ( | 6 | − | 5 | ) | − | 9477 10 | ( | 6 | − | 5 | ) |
| x | × | 43553 40 | − | x | × | 9477 10 | − | 5 | ( | 43553 40 | − | 9477 10 | ) | = | 1000 | × | 6 | − | 1000 | × | 5 | − | 9477 10 | ( | 6 | − | 5 | ) |
| x | × | 43553 40 | − | x | × | 9477 10 | − | 5 | ( | 43553 40 | − | 9477 10 | ) | = | 6000 | − | 5000 | − | 9477 10 | ( | 6 | − | 5 | ) |
1129 8 | x | − | 5 | ( | 43553 40 | − | 9477 10 | ) | = | 1000 | − | 9477 10 | ( | 6 | − | 5 | ) |
1129 8 | x | − | 5 | × | 43553 40 | + | 5 | × | 9477 10 | = | 1000 | − | 9477 10 | ( | 6 | − | 5 | ) |
1129 8 | x | − | 5 | × | 43553 40 | + | 5 | × | 9477 10 | = | 1000 | − | 9477 10 | × | 6 | + | 9477 10 | × | 5 |
1129 8 | x | − | 43553 8 | + | 9477 2 | = | 1000 | − | 28431 5 | + | 9477 2 |
1129 8 | x | − | 5645 8 | = | 523 10 |
Transposition :
1129 8 | x | = | 523 10 | + | 5645 8 |
Combine the items on the right of the equation:
1129 8 | x | = | 30317 40 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 30317 40 | ÷ | 1129 8 |
| = | 30317 40 | × | 8 1129 |
| = | 30317 5 | × | 1 1129 |
We obtained :
| x | = | 30317 5645 |
Convert the result to decimal form :
| x | = | 5.370593 |