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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 ((75.21+2x)/(74.54+x))-1 = 1.35% .
Question type: Equation
Solution:Original question:
| ( | ( | 7521 100 | + | 2 | x | ) | ÷ | ( | 3727 50 | + | x | ) | ) | − | 1 | = | 27 2000 |
| ( | 7521 100 | + | 2 | x | ) | ÷ | ( | 3727 50 | + | x | ) | − | 1 | = | 27 2000 |
| Multiply both sides of the equation by: | ( | 3727 50 | + | x | ) |
| ( | 7521 100 | + | 2 | x | ) | − | 1 | ( | 3727 50 | + | x | ) | = | 27 2000 | ( | 3727 50 | + | x | ) |
7521 100 | + | 2 | x | − | 1 | ( | 3727 50 | + | x | ) | = | 27 2000 | ( | 3727 50 | + | x | ) |
7521 100 | + | 2 | x | − | 1 | ( | 3727 50 | + | x | ) | = | 27 2000 | × | 3727 50 | + | 27 2000 | x |
7521 100 | + | 2 | x | − | 1 | ( | 3727 50 | + | x | ) | = | 100629 100000 | + | 27 2000 | x |
7521 100 | + | 2 | x | − | 1 | × | 3727 50 | − | 1 | x | = | 100629 100000 | + | 27 2000 | x |
7521 100 | + | 2 | x | − | 3727 50 | − | 1 | x | = | 100629 100000 | + | 27 2000 | x |
67 100 | + | 1 | x | = | 100629 100000 | + | 27 2000 | x |
Transposition :
| 1 | x | − | 27 2000 | x | = | 100629 100000 | − | 67 100 |
Combine the items on the left of the equation:
1973 2000 | x | = | 100629 100000 | − | 67 100 |
Combine the items on the right of the equation:
1973 2000 | x | = | 33629 100000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 33629 100000 | ÷ | 1973 2000 |
| = | 33629 100000 | × | 2000 1973 |
| = | 33629 50 | × | 1 1973 |
We obtained :
| x | = | 33629 98650 |
Convert the result to decimal form :
| x | = | 0.340892 |