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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 (1.224+2x)/(1.224+x)-1 = 1.35% .
Question type: Equation
Solution:Original question:
| ( | 153 125 | + | 2 | x | ) | ÷ | ( | 153 125 | + | x | ) | − | 1 | = | 27 2000 |
| Multiply both sides of the equation by: | ( | 153 125 | + | x | ) |
| ( | 153 125 | + | 2 | x | ) | − | 1 | ( | 153 125 | + | x | ) | = | 27 2000 | ( | 153 125 | + | x | ) |
153 125 | + | 2 | x | − | 1 | ( | 153 125 | + | x | ) | = | 27 2000 | ( | 153 125 | + | x | ) |
153 125 | + | 2 | x | − | 1 | ( | 153 125 | + | x | ) | = | 27 2000 | × | 153 125 | + | 27 2000 | x |
153 125 | + | 2 | x | − | 1 | ( | 153 125 | + | x | ) | = | 4131 250000 | + | 27 2000 | x |
153 125 | + | 2 | x | − | 1 | × | 153 125 | − | 1 | x | = | 4131 250000 | + | 27 2000 | x |
153 125 | + | 2 | x | − | 153 125 | − | 1 | x | = | 4131 250000 | + | 27 2000 | x |
| 0 | + | 1 | x | = | 4131 250000 | + | 27 2000 | x |
Transposition :
| 1 | x | − | 27 2000 | x | = | 4131 250000 |
Combine the items on the left of the equation:
1973 2000 | x | = | 4131 250000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4131 250000 | ÷ | 1973 2000 |
| = | 4131 250000 | × | 2000 1973 |
| = | 4131 125 | × | 1 1973 |
We obtained :
| x | = | 4131 246625 |
Convert the result to decimal form :
| x | = | 0.01675 |