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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 （36+5x）/（x+12） = 4.37 .
Question type: Equation
Solution:Original question:
| ( | 36 | + | 5 | x | ) | ÷ | ( | x | + | 12 | ) | = | 437 100 |
| Multiply both sides of the equation by: | ( | x | + | 12 | ) |
| ( | 36 | + | 5 | x | ) | = | 437 100 | ( | x | + | 12 | ) |
| 36 | + | 5 | x | = | 437 100 | ( | x | + | 12 | ) |
| 36 | + | 5 | x | = | 437 100 | x | + | 437 100 | × | 12 |
| 36 | + | 5 | x | = | 437 100 | x | + | 1311 25 |
Transposition :
| 5 | x | − | 437 100 | x | = | 1311 25 | − | 36 |
Combine the items on the left of the equation:
63 100 | x | = | 1311 25 | − | 36 |
Combine the items on the right of the equation:
63 100 | x | = | 411 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 411 25 | ÷ | 63 100 |
| = | 411 25 | × | 100 63 |
| = | 137 | × | 4 21 |
We obtained :
| x | = | 548 21 |
Convert the result to decimal form :
| x | = | 26.095238 |