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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+283.15)/(x+273.15) = 11.4514 .
Question type: Equation
Solution:Original question:
| ( | x | + | 5663 20 | ) | ÷ | ( | x | + | 5463 20 | ) | = | 57257 5000 |
| Multiply both sides of the equation by: | ( | x | + | 5463 20 | ) |
| ( | x | + | 5663 20 | ) | = | 57257 5000 | ( | x | + | 5463 20 | ) |
| x | + | 5663 20 | = | 57257 5000 | ( | x | + | 5463 20 | ) |
| x | + | 5663 20 | = | 57257 5000 | x | + | 57257 5000 | × | 5463 20 |
| x | + | 5663 20 | = | 57257 5000 | x | + | 312794991 100000 |
Transposition :
| x | − | 57257 5000 | x | = | 312794991 100000 | − | 5663 20 |
Combine the items on the left of the equation:
| - | 52257 5000 | x | = | 312794991 100000 | − | 5663 20 |
Combine the items on the right of the equation:
| - | 52257 5000 | x | = | 284479991 100000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 284479991 100000 | = | 52257 5000 | 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 :
52257 5000 | x | = | - | 284479991 100000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 284479991 100000 | ÷ | 52257 5000 |
| = | - | 284479991 100000 | × | 5000 52257 |
| = | - | 284479991 20 | × | 1 52257 |
We obtained :
| x | = | - | 284479991 1045140 |
Convert the result to decimal form :
| x | = | - 272.19319 |