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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 (4.185+2x)/(4.185+x)-1 = 0.33% .
Question type: Equation
Solution:Original question:
| ( | 837 200 | + | 2 | x | ) | ÷ | ( | 837 200 | + | x | ) | − | 1 | = | 33 10000 |
| Multiply both sides of the equation by: | ( | 837 200 | + | x | ) |
| ( | 837 200 | + | 2 | x | ) | − | 1 | ( | 837 200 | + | x | ) | = | 33 10000 | ( | 837 200 | + | x | ) |
837 200 | + | 2 | x | − | 1 | ( | 837 200 | + | x | ) | = | 33 10000 | ( | 837 200 | + | x | ) |
837 200 | + | 2 | x | − | 1 | ( | 837 200 | + | x | ) | = | 33 10000 | × | 837 200 | + | 33 10000 | x |
837 200 | + | 2 | x | − | 1 | ( | 837 200 | + | x | ) | = | 27621 2000000 | + | 33 10000 | x |
837 200 | + | 2 | x | − | 1 | × | 837 200 | − | 1 | x | = | 27621 2000000 | + | 33 10000 | x |
837 200 | + | 2 | x | − | 837 200 | − | 1 | x | = | 27621 2000000 | + | 33 10000 | x |
| 0 | + | 1 | x | = | 27621 2000000 | + | 33 10000 | x |
Transposition :
| 1 | x | − | 33 10000 | x | = | 27621 2000000 |
Combine the items on the left of the equation:
9967 10000 | x | = | 27621 2000000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 27621 2000000 | ÷ | 9967 10000 |
| = | 27621 2000000 | × | 10000 9967 |
| = | 27621 200 | × | 1 9967 |
We obtained :
| x | = | 27621 1993400 |
Convert the result to decimal form :
| x | = | 0.013856 |