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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 x/（x+100） = 0.1867 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | x | + | 100 | ) | = | 1867 10000 |
| Multiply both sides of the equation by: | ( | x | + | 100 | ) |
| x | = | 1867 10000 | ( | x | + | 100 | ) |
| x | = | 1867 10000 | x | + | 1867 10000 | × | 100 |
| x | = | 1867 10000 | x | + | 1867 100 |
Transposition :
| x | − | 1867 10000 | x | = | 1867 100 |
Combine the items on the left of the equation:
8133 10000 | x | = | 1867 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1867 100 | ÷ | 8133 10000 |
| = | 1867 100 | × | 10000 8133 |
| = | 1867 | × | 100 8133 |
We obtained :
| x | = | 186700 8133 |
Convert the result to decimal form :
| x | = | 22.955859 |