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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 (42-37.61)/(42-35) = (0.98-x)/(0.98-0.95) .
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 (42-37.61)/(42-35) = (0.98-x)/(0.98-0.95) .
Question type: Equation
Solution:Original question:
| ( | 42 | − | 3761 100 | ) | ÷ | ( | 42 | − | 35 | ) | = | ( | 49 50 | − | x | ) | ÷ | ( | 49 50 | − | 19 20 | ) |
| Multiply both sides of the equation by: | ( | 42 | − | 35 | ) | , | ( | 49 50 | − | 19 20 | ) |
| ( | 42 | − | 3761 100 | ) | ( | 49 50 | − | 19 20 | ) | = | ( | 49 50 | − | x | ) | ( | 42 | − | 35 | ) |
| 42 | ( | 49 50 | − | 19 20 | ) | − | 3761 100 | ( | 49 50 | − | 19 20 | ) | = | ( | 49 50 | − | x | ) | ( | 42 | − | 35 | ) |
| 42 | ( | 49 50 | − | 19 20 | ) | − | 3761 100 | ( | 49 50 | − | 19 20 | ) | = | 49 50 | ( | 42 | − | 35 | ) | − | x | ( | 42 | − | 35 | ) |
| 42 | × | 49 50 | − | 42 | × | 19 20 | − | 3761 100 | ( | 49 50 | − | 19 20 | ) | = | 49 50 | ( | 42 | − | 35 | ) | − | x | ( | 42 | − | 35 | ) |
| 42 | × | 49 50 | − | 42 | × | 19 20 | − | 3761 100 | ( | 49 50 | − | 19 20 | ) | = | 49 50 | × | 42 | − | 49 50 | × | 35 | − | x | ( | 42 | − | 35 | ) |
1029 25 | − | 399 10 | − | 3761 100 | ( | 49 50 | − | 19 20 | ) | = | 1029 25 | − | 343 10 | − | x | ( | 42 | − | 35 | ) |
63 50 | − | 3761 100 | ( | 49 50 | − | 19 20 | ) | = | 343 50 | − | x | ( | 42 | − | 35 | ) |
63 50 | − | 3761 100 | × | 49 50 | + | 3761 100 | × | 19 20 | = | 343 50 | − | x | ( | 42 | − | 35 | ) |
63 50 | − | 3761 100 | × | 49 50 | + | 3761 100 | × | 19 20 | = | 343 50 | − | x | × | 42 | + | x | × | 35 |
63 50 | − | 184289 5000 | + | 71459 2000 | = | 343 50 | − | x | × | 42 | + | x | × | 35 |
1317 10000 | = | 343 50 | − | 7 | x |
Transposition :
| 7 | x | = | 343 50 | − | 1317 10000 |
Combine the items on the right of the equation:
| 7 | x | = | 67283 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 67283 10000 | ÷ | 7 |
| = | 67283 10000 | × | 1 7 |
We obtained :
| x | = | 67283 70000 |
Convert the result to decimal form :
| x | = | 0.961186 |