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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 7077.448 = (26.89*(x-1)+5)/(x-1)*256 .
Question type: Equation
Solution:Original question:
884681 125 | = | ( | 2689 100 | ( | x | − | 1 | ) | + | 5 | ) | ÷ | ( | x | − | 1 | ) | × | 256 |
| Multiply both sides of the equation by: | ( | x | − | 1 | ) |
884681 125 | ( | x | − | 1 | ) | = | ( | 2689 100 | ( | x | − | 1 | ) | + | 5 | ) | × | 256 |
884681 125 | x | − | 884681 125 | × | 1 | = | ( | 2689 100 | ( | x | − | 1 | ) | + | 5 | ) | × | 256 |
884681 125 | x | − | 884681 125 | × | 1 | = | 2689 100 | ( | x | − | 1 | ) | × | 256 | + | 5 | × | 256 |
884681 125 | x | − | 884681 125 | = | 172096 25 | ( | x | − | 1 | ) | + | 1280 |
884681 125 | x | − | 884681 125 | = | 172096 25 | x | − | 172096 25 | × | 1 | + | 1280 |
884681 125 | x | − | 884681 125 | = | 172096 25 | x | − | 172096 25 | + | 1280 |
884681 125 | x | − | 884681 125 | = | 172096 25 | x | − | 140096 25 |
Transposition :
884681 125 | x | − | 172096 25 | x | = | - | 140096 25 | + | 884681 125 |
Combine the items on the left of the equation:
24201 125 | x | = | - | 140096 25 | + | 884681 125 |
Combine the items on the right of the equation:
24201 125 | x | = | 184201 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 184201 125 | ÷ | 24201 125 |
| = | 184201 125 | × | 125 24201 |
| = | 184201 | × | 1 24201 |
We obtained :
| x | = | 184201 24201 |
Convert the result to decimal form :
| x | = | 7.611297 |