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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 = -（120/2.303*8.314）（1/x-1/298.15） .
Question type: Equation
Solution:Original question:
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the right of the equation:：
The equation is reduced to :
Transposition :
Combine the items on the left 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 = -（120/2.303*8.314）（1/x-1/298.15） .
Question type: Equation
Solution:Original question:
| 1 | = | - | ( | 120 | ÷ | 2303 1000 | × | 4157 500 | ) | ( | 1 | ÷ | x | − | 1 | ÷ | 5963 20 | ) |
| 1 | = | - | 120 | ÷ | 2303 1000 | × | 4157 500 | ( | 1 | ÷ | x | − | 1 | ÷ | 5963 20 | ) |
| 1 | = | - | 997680 2303 | ( | 1 | ÷ | x | − | 1 | ÷ | 5963 20 | ) |
| 1 | = | - | 997680 2303 | × | 1 | ÷ | x | + | 997680 2303 | × | 1 | ÷ | 5963 20 |
| 1 | = | - | 997680 2303 | ÷ | x | + | 19953600 13732789 |
| Multiply both sides of the equation by: | x |
| 1 | x | = | - | 997680 2303 | + | 19953600 13732789 | x |
Transposition :
| 1 | x | − | 19953600 13732789 | x | = | - | 997680 2303 |
Combine the items on the left of the equation:
| - | 6220811 13732789 | x | = | - | 997680 2303 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
997680 2303 | = | 6220811 13732789 | 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 :
6220811 13732789 | x | = | 997680 2303 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 997680 2303 | ÷ | 6220811 13732789 |
| = | 997680 2303 | × | 13732789 6220811 |
| = | 997680 | × | 5963 6220811 |
We obtained :
| x | = | 5949165840 6220811 |
Convert the result to decimal form :
| x | = | 956.332838 |