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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 (50/(50+x))/(25/(25+x)) = 4.06/2.057 .
Question type: Equation
Solution:Original question:
| ( | 50 | ÷ | ( | 50 | + | x | ) | ) | ÷ | ( | 25 | ÷ | ( | 25 | + | x | ) | ) | = | 203 50 | ÷ | 2057 1000 |
| Multiply both sides of the equation by: | ( | 25 | ÷ | ( | 25 | + | x | ) | ) |
| ( | 50 | ÷ | ( | 50 | + | x | ) | ) | = | 203 50 | ÷ | 2057 1000 | × | ( | 25 | ÷ | ( | 25 | + | x | ) | ) |
| 50 | ÷ | ( | 50 | + | x | ) | = | 203 50 | ÷ | 2057 1000 | × | ( | 25 | ÷ | ( | 25 | + | x | ) | ) |
| 50 | ÷ | ( | 50 | + | x | ) | = | 203 50 | ÷ | 2057 1000 | × | 25 | ÷ | ( | 25 | + | x | ) |
| 50 | ÷ | ( | 50 | + | x | ) | = | 101500 2057 | ÷ | ( | 25 | + | x | ) |
| Multiply both sides of the equation by: | ( | 50 | + | x | ) | , | ( | 25 | + | x | ) |
| 50 | ( | 25 | + | x | ) | = | 101500 2057 | ( | 50 | + | x | ) |
| 50 | × | 25 | + | 50 | x | = | 101500 2057 | ( | 50 | + | x | ) |
| 50 | × | 25 | + | 50 | x | = | 101500 2057 | × | 50 | + | 101500 2057 | x |
| 1250 | + | 50 | x | = | 5075000 2057 | + | 101500 2057 | x |
Transposition :
| 50 | x | − | 101500 2057 | x | = | 5075000 2057 | − | 1250 |
Combine the items on the left of the equation:
1350 2057 | x | = | 5075000 2057 | − | 1250 |
Combine the items on the right of the equation:
1350 2057 | x | = | 2503750 2057 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2503750 2057 | ÷ | 1350 2057 |
| = | 2503750 2057 | × | 2057 1350 |
| = | 50075 | × | 1 27 |
We obtained :
| x | = | 50075 27 |
Convert the result to decimal form :
| x | = | 1854.62963 |