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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 (2005+381-x)×5.35 = 9639 .
Question type: Equation
Solution:Original question:
| ( | 2005 | + | 381 | − | x | ) | × | 107 20 | = | 9639 |
| Left side of the equation = | 2005 | × | 107 20 | + | 381 | × | 107 20 | − | x | × | 107 20 |
| = | 42907 4 | + | 40767 20 | − | x | × | 107 20 |
| = | 127651 10 | − | 107 20 | x |
127651 10 | − | 107 20 | x | = | 9639 |
Transposition :
| - | 107 20 | x | = | 9639 | − | 127651 10 |
Combine the items on the right of the equation:
| - | 107 20 | x | = | - | 31261 10 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
31261 10 | = | 107 20 | 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 :
107 20 | x | = | 31261 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 31261 10 | ÷ | 107 20 |
| = | 31261 10 | × | 20 107 |
| = | 31261 | × | 2 107 |
We obtained :
| x | = | 62522 107 |
Convert the result to decimal form :
| x | = | 584.317757 |