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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 5.46/(1-0.6+x/100) = 9.73/(1+x/100) .
Question type: Equation
Solution:Original question:
273 50 | ÷ | ( | 1 | − | 3 5 | + | x | ÷ | 100 | ) | = | 973 100 | ÷ | ( | 1 | + | x | ÷ | 100 | ) |
| Multiply both sides of the equation by: | ( | 1 | − | 3 5 | + | x | ÷ | 100 | ) | , | ( | 1 | + | x | ÷ | 100 | ) |
273 50 | ( | 1 | + | x | ÷ | 100 | ) | = | 973 100 | ( | 1 | − | 3 5 | + | x | ÷ | 100 | ) |
273 50 | × | 1 | + | 273 50 | x | ÷ | 100 | = | 973 100 | ( | 1 | − | 3 5 | + | x | ÷ | 100 | ) |
273 50 | × | 1 | + | 273 50 | x | ÷ | 100 | = | 973 100 | × | 1 | − | 973 100 | × | 3 5 | + | 973 100 | x | ÷ | 100 |
273 50 | + | 273 5000 | x | = | 973 100 | − | 2919 500 | + | 973 10000 | x |
273 50 | + | 273 5000 | x | = | 973 250 | + | 973 10000 | x |
Transposition :
273 5000 | x | − | 973 10000 | x | = | 973 250 | − | 273 50 |
Combine the items on the left of the equation:
| - | 427 10000 | x | = | 973 250 | − | 273 50 |
Combine the items on the right of the equation:
| - | 427 10000 | x | = | - | 196 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
196 125 | = | 427 10000 | 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 :
427 10000 | x | = | 196 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 196 125 | ÷ | 427 10000 |
| = | 196 125 | × | 10000 427 |
| = | 28 | × | 80 61 |
We obtained :
| x | = | 2240 61 |
Convert the result to decimal form :
| x | = | 36.721311 |