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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+99.99) = 0.0001 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | x | + | 9999 100 | ) | = | 1 10000 |
| Multiply both sides of the equation by: | ( | x | + | 9999 100 | ) |
| x | = | 1 10000 | ( | x | + | 9999 100 | ) |
| x | = | 1 10000 | x | + | 1 10000 | × | 9999 100 |
| x | = | 1 10000 | x | + | 9999 1000000 |
Transposition :
| x | − | 1 10000 | x | = | 9999 1000000 |
Combine the items on the left of the equation:
9999 10000 | x | = | 9999 1000000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9999 1000000 | ÷ | 9999 10000 |
| = | 9999 1000000 | × | 10000 9999 |
| = | 101 100 | × | 1 101 |
We obtained :
| x | = | 101 10100 |
By reducing fraction, we can get:
| x | = | 1 100 |
Convert the result to decimal form :
| x | = | 0.01 |