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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) = 1.14514 .
Question type: Equation
Solution:Original question:
| ( | x | + | 5663 20 | ) | ÷ | ( | x | + | 5463 20 | ) | = | 57257 50000 |
| Multiply both sides of the equation by: | ( | x | + | 5463 20 | ) |
| ( | x | + | 5663 20 | ) | = | 57257 50000 | ( | x | + | 5463 20 | ) |
| x | + | 5663 20 | = | 57257 50000 | ( | x | + | 5463 20 | ) |
| x | + | 5663 20 | = | 57257 50000 | x | + | 57257 50000 | × | 5463 20 |
| x | + | 5663 20 | = | 57257 50000 | x | + | 312794991 1000000 |
Transposition :
| x | − | 57257 50000 | x | = | 312794991 1000000 | − | 5663 20 |
Combine the items on the left of the equation:
| - | 7257 50000 | x | = | 312794991 1000000 | − | 5663 20 |
Combine the items on the right of the equation:
| - | 7257 50000 | x | = | 29644991 1000000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 29644991 1000000 | = | 7257 50000 | 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 :
7257 50000 | x | = | - | 29644991 1000000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 29644991 1000000 | ÷ | 7257 50000 |
| = | - | 29644991 1000000 | × | 50000 7257 |
| = | - | 29644991 20 | × | 1 7257 |
We obtained :
| x | = | - | 29644991 145140 |
Convert the result to decimal form :
| x | = | - 204.251006 |