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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 （1.69-1）/(x-1.9) = (2-1.69)/(1.79-x) .
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 :
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 :
i.e.
Combine the items on the left of the equation:
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
This is the solution of the equation.
This is the solution of the equation.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （1.69-1）/(x-1.9) = (2-1.69)/(1.79-x) .
Question type: Equation
Solution:Original question:
| ( | 169 100 | − | 1 | ) | ÷ | ( | x | − | 19 10 | ) | = | ( | 2 | − | 169 100 | ) | ÷ | ( | 179 100 | − | x | ) |
| Multiply both sides of the equation by: | ( | x | − | 19 10 | ) | , | ( | 179 100 | − | x | ) |
| ( | 169 100 | − | 1 | ) | ( | 179 100 | − | x | ) | = | ( | 2 | − | 169 100 | ) | ( | x | − | 19 10 | ) |
169 100 | ( | 179 100 | − | x | ) | − | 1 | ( | 179 100 | − | x | ) | = | ( | 2 | − | 169 100 | ) | ( | x | − | 19 10 | ) |
169 100 | ( | 179 100 | − | x | ) | − | 1 | ( | 179 100 | − | x | ) | = | 2 | ( | x | − | 19 10 | ) | − | 169 100 | ( | x | − | 19 10 | ) |
169 100 | × | 179 100 | − | 169 100 | x | − | 1 | ( | 179 100 | − | x | ) | = | 2 | ( | x | − | 19 10 | ) | − | 169 100 | ( | x | − | 19 10 | ) |
169 100 | × | 179 100 | − | 169 100 | x | − | 1 | ( | 179 100 | − | x | ) | = | 2 | x | − | 2 | × | 19 10 | − | 169 100 | ( | x | − | 19 10 | ) |
30251 10000 | − | 169 100 | x | − | 1 | ( | 179 100 | − | x | ) | = | 2 | x | − | 19 5 | − | 169 100 | ( | x | − | 19 10 | ) |
30251 10000 | − | 169 100 | x | − | 1 | × | 179 100 | + | 1 | x | = | 2 | x | − | 19 5 | − | 169 100 | ( | x | − | 19 10 | ) |
30251 10000 | − | 169 100 | x | − | 1 | × | 179 100 | + | 1 | x | = | 2 | x | − | 19 5 | − | 169 100 | x | + | 169 100 | × | 19 10 |
30251 10000 | − | 169 100 | x | − | 179 100 | + | 1 | x | = | 2 | x | − | 19 5 | − | 169 100 | x | + | 3211 1000 |
12351 10000 | − | 69 100 | x | = | 31 100 | x | − | 589 1000 |
Transposition :
| - | 69 100 | x | − | 31 100 | x | = | - | 589 1000 | − | 12351 10000 |
| - | x | = | - | 589 1000 | − | 12351 10000 |
Combine the items on the left of the equation:
| - | x | = | - | 589 1000 | − | 12351 10000 |
Combine the items on the right of the equation:
| - | x | = | - | 18241 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
18241 10000 | = | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
| x | = | 18241 10000 |
This is the solution of the equation.