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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 (p-419)/p = 5.826/0.5617 .
Question type: Equation
Solution:Original question:
| ( | p | − | 419 | ) | ÷ | p | = | 2913 500 | ÷ | 5617 10000 |
| Multiply both sides of the equation by: | p |
| ( | p | − | 419 | ) | = | 2913 500 | ÷ | 5617 10000 | × | p |
| p | − | 419 | = | 2913 500 | ÷ | 5617 10000 | × | p |
| p | − | 419 | = | 58260 5617 | p |
Transposition :
| p | − | 58260 5617 | p | = | 419 |
Combine the items on the left of the equation:
| - | 52643 5617 | p | = | 419 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 419 | = | 52643 5617 | p |
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 :
52643 5617 | p | = | - | 419 |
The coefficient of the unknown number is reduced to 1 :
| p | = | - | 419 | ÷ | 52643 5617 |
| = | - | 419 | × | 5617 52643 |
We obtained :
| p | = | - | 2353523 52643 |
Convert the result to decimal form :
| p | = | - 44.707236 |