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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 0.91*（375.15-x） = 4.18*（x-273.15） .
Question type: Equation
Solution:Original question:
91 100 | ( | 7503 20 | − | x | ) | = | 209 50 | ( | x | − | 5463 20 | ) |
| Left side of the equation = | 91 100 | × | 7503 20 | − | 91 100 | x |
| = | 682773 2000 | − | 91 100 | x |
682773 2000 | − | 91 100 | x | = | 209 50 | ( | x | − | 5463 20 | ) |
| Right side of the equation = | 209 50 | x | − | 209 50 | × | 5463 20 |
| = | 209 50 | x | − | 1141767 1000 |
682773 2000 | − | 91 100 | x | = | 209 50 | x | − | 1141767 1000 |
Transposition :
| - | 91 100 | x | − | 209 50 | x | = | - | 1141767 1000 | − | 682773 2000 |
Combine the items on the left of the equation:
| - | 509 100 | x | = | - | 1141767 1000 | − | 682773 2000 |
Combine the items on the right of the equation:
| - | 509 100 | x | = | - | 2966307 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2966307 2000 | = | 509 100 | 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 :
509 100 | x | = | 2966307 2000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2966307 2000 | ÷ | 509 100 |
| = | 2966307 2000 | × | 100 509 |
| = | 2966307 20 | × | 1 509 |
We obtained :
| x | = | 2966307 10180 |
Convert the result to decimal form :
| x | = | 291.385756 |