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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 5x÷（5+x） = 6.47 .
Question type: Equation
Solution:Original question:
| 5 | x | ÷ | ( | 5 | + | x | ) | = | 647 100 |
| Multiply both sides of the equation by: | ( | 5 | + | x | ) |
| 5 | x | = | 647 100 | ( | 5 | + | x | ) |
| 5 | x | = | 647 100 | × | 5 | + | 647 100 | x |
| 5 | x | = | 647 20 | + | 647 100 | x |
Transposition :
| 5 | x | − | 647 100 | x | = | 647 20 |
Combine the items on the left of the equation:
| - | 147 100 | x | = | 647 20 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 647 20 | = | 147 100 | 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 :
147 100 | x | = | - | 647 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 647 20 | ÷ | 147 100 |
| = | - | 647 20 | × | 100 147 |
| = | - | 647 | × | 5 147 |
We obtained :
| x | = | - | 3235 147 |
Convert the result to decimal form :
| x | = | - 22.006803 |