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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-6）/（7-6） = （4.5-4.355）/（4.868-4.355） .
Question type: Equation
Solution:Original question:
| ( | X | − | 6 | ) | ÷ | ( | 7 | − | 6 | ) | = | ( | 9 2 | − | 871 200 | ) | ÷ | ( | 1217 250 | − | 871 200 | ) |
| Multiply both sides of the equation by: | ( | 7 | − | 6 | ) | , | ( | 1217 250 | − | 871 200 | ) |
| ( | X | − | 6 | ) | ( | 1217 250 | − | 871 200 | ) | = | ( | 9 2 | − | 871 200 | ) | ( | 7 | − | 6 | ) |
| X | ( | 1217 250 | − | 871 200 | ) | − | 6 | ( | 1217 250 | − | 871 200 | ) | = | ( | 9 2 | − | 871 200 | ) | ( | 7 | − | 6 | ) |
| X | ( | 1217 250 | − | 871 200 | ) | − | 6 | ( | 1217 250 | − | 871 200 | ) | = | 9 2 | ( | 7 | − | 6 | ) | − | 871 200 | ( | 7 | − | 6 | ) |
| X | × | 1217 250 | − | X | × | 871 200 | − | 6 | ( | 1217 250 | − | 871 200 | ) | = | 9 2 | ( | 7 | − | 6 | ) | − | 871 200 | ( | 7 | − | 6 | ) |
| X | × | 1217 250 | − | X | × | 871 200 | − | 6 | ( | 1217 250 | − | 871 200 | ) | = | 9 2 | × | 7 | − | 9 2 | × | 6 | − | 871 200 | ( | 7 | − | 6 | ) |
| X | × | 1217 250 | − | X | × | 871 200 | − | 6 | ( | 1217 250 | − | 871 200 | ) | = | 63 2 | − | 27 | − | 871 200 | ( | 7 | − | 6 | ) |
513 1000 | X | − | 6 | ( | 1217 250 | − | 871 200 | ) | = | 9 2 | − | 871 200 | ( | 7 | − | 6 | ) |
513 1000 | X | − | 6 | × | 1217 250 | + | 6 | × | 871 200 | = | 9 2 | − | 871 200 | ( | 7 | − | 6 | ) |
513 1000 | X | − | 6 | × | 1217 250 | + | 6 | × | 871 200 | = | 9 2 | − | 871 200 | × | 7 | + | 871 200 | × | 6 |
513 1000 | X | − | 3651 125 | + | 2613 100 | = | 9 2 | − | 6097 200 | + | 2613 100 |
513 1000 | X | − | 1539 500 | = | 29 200 |
Transposition :
513 1000 | X | = | 29 200 | + | 1539 500 |
Combine the items on the right of the equation:
513 1000 | X | = | 3223 1000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3223 1000 | ÷ | 513 1000 |
| = | 3223 1000 | × | 1000 513 |
| = | 3223 | × | 1 513 |
We obtained :
| X | = | 3223 513 |
Convert the result to decimal form :
| X | = | 6.282651 |