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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-7）/（8-7） = （5-4.8684）/（5.3349-4.8684） .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （x-7）/（8-7） = （5-4.8684）/（5.3349-4.8684） .
Question type: Equation
Solution:Original question:
| ( | x | − | 7 | ) | ÷ | ( | 8 | − | 7 | ) | = | ( | 5 | − | 12171 2500 | ) | ÷ | ( | 53349 10000 | − | 12171 2500 | ) |
| Multiply both sides of the equation by: | ( | 8 | − | 7 | ) | , | ( | 53349 10000 | − | 12171 2500 | ) |
| ( | x | − | 7 | ) | ( | 53349 10000 | − | 12171 2500 | ) | = | ( | 5 | − | 12171 2500 | ) | ( | 8 | − | 7 | ) |
| x | ( | 53349 10000 | − | 12171 2500 | ) | − | 7 | ( | 53349 10000 | − | 12171 2500 | ) | = | ( | 5 | − | 12171 2500 | ) | ( | 8 | − | 7 | ) |
| x | ( | 53349 10000 | − | 12171 2500 | ) | − | 7 | ( | 53349 10000 | − | 12171 2500 | ) | = | 5 | ( | 8 | − | 7 | ) | − | 12171 2500 | ( | 8 | − | 7 | ) |
| x | × | 53349 10000 | − | x | × | 12171 2500 | − | 7 | ( | 53349 10000 | − | 12171 2500 | ) | = | 5 | ( | 8 | − | 7 | ) | − | 12171 2500 | ( | 8 | − | 7 | ) |
| x | × | 53349 10000 | − | x | × | 12171 2500 | − | 7 | ( | 53349 10000 | − | 12171 2500 | ) | = | 5 | × | 8 | − | 5 | × | 7 | − | 12171 2500 | ( | 8 | − | 7 | ) |
| x | × | 53349 10000 | − | x | × | 12171 2500 | − | 7 | ( | 53349 10000 | − | 12171 2500 | ) | = | 40 | − | 35 | − | 12171 2500 | ( | 8 | − | 7 | ) |
933 2000 | x | − | 7 | ( | 53349 10000 | − | 12171 2500 | ) | = | 5 | − | 12171 2500 | ( | 8 | − | 7 | ) |
933 2000 | x | − | 7 | × | 53349 10000 | + | 7 | × | 12171 2500 | = | 5 | − | 12171 2500 | ( | 8 | − | 7 | ) |
933 2000 | x | − | 7 | × | 53349 10000 | + | 7 | × | 12171 2500 | = | 5 | − | 12171 2500 | × | 8 | + | 12171 2500 | × | 7 |
933 2000 | x | − | 373443 10000 | + | 85197 2500 | = | 5 | − | 24342 625 | + | 85197 2500 |
933 2000 | x | − | 6531 2000 | = | 329 2500 |
Transposition :
933 2000 | x | = | 329 2500 | + | 6531 2000 |
Combine the items on the right of the equation:
933 2000 | x | = | 33971 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 33971 10000 | ÷ | 933 2000 |
| = | 33971 10000 | × | 2000 933 |
| = | 33971 5 | × | 1 933 |
We obtained :
| x | = | 33971 4665 |
Convert the result to decimal form :
| x | = | 7.282101 |