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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/x-1/83.33）*0.5+（1/x-1/333.33）*0.4 = 1 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
Transposition :
Calculate the items on the right of the equation:
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 :
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 （1/x-1/83.33）*0.5+（1/x-1/333.33）*0.4 = 1 .
Question type: Equation
Solution:Original question:
| ( | 1 | ÷ | x | − | 1 | ÷ | 8333 100 | ) | × | 1 2 | + | ( | 1 | ÷ | x | − | 1 | ÷ | 33333 100 | ) | × | 2 5 | = | 1 |
| 1 | ÷ | x | × | 1 2 | − | 1 | ÷ | 8333 100 | × | 1 2 | + | ( | 1 | ÷ | x | − | 1 | ÷ | 33333 100 | ) | × | 2 5 | = | 1 |
1 2 | ÷ | x | − | 50 8333 | + | ( | 1 | ÷ | x | − | 1 | ÷ | 33333 100 | ) | × | 2 5 | = | 1 |
| Multiply both sides of the equation by: | x |
1 2 | − | 50 8333 | x | + | ( | 1 | ÷ | x | − | 1 | ÷ | 33333 100 | ) | × | 2 5 | x | = | 1 | x |
1 2 | − | 50 8333 | x | + | 1 | ÷ | x | × | 2 5 | x | − | 1 | ÷ | 33333 100 | × | 2 5 | x | = | 1 | x |
1 2 | − | 50 8333 | x | + | 2 5 | ÷ | x | × | x | − | 40 33333 | x | = | 1 | x |
1 2 | − | 1999970 277763889 | x | + | 2 5 | ÷ | x | × | x | = | 1 | x |
Transposition :
| - | 1999970 277763889 | x | − | 1 | x | = | - | 1 2 | − | 2 5 | ÷ | 1 | × | 1 |
Calculate the items on the right of the equation:
| - | 1999970 277763889 | x | − | 1 | x | = | - | 1 2 | − | 2 5 |
Combine the items on the left of the equation:
| - | 279763859 277763889 | x | = | - | 1 2 | − | 2 5 |
Combine the items on the right of the equation:
| - | 279763859 277763889 | x | = | - | 9 10 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9 10 | = | 279763859 277763889 | 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 :
279763859 277763889 | x | = | 9 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9 10 | ÷ | 279763859 277763889 |
| = | 9 10 | × | 277763889 279763859 |
We obtained :
| x | = | 2499875001 2797638590 |
Convert the result to decimal form :
| x | = | 0.893566 |