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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)/(724+x) = 0.001 .
Question type: Equation
Solution:Original question:
| ( | x | ) | ÷ | ( | 724 | + | x | ) | = | 1 1000 |
| Multiply both sides of the equation by: | ( | 724 | + | x | ) |
| ( | x | ) | = | 1 1000 | ( | 724 | + | x | ) |
| x | = | 1 1000 | ( | 724 | + | x | ) |
| x | = | 1 1000 | × | 724 | + | 1 1000 | x |
| x | = | 181 250 | + | 1 1000 | x |
Transposition :
| x | − | 1 1000 | x | = | 181 250 |
Combine the items on the left of the equation:
999 1000 | x | = | 181 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 181 250 | ÷ | 999 1000 |
| = | 181 250 | × | 1000 999 |
| = | 181 | × | 4 999 |
We obtained :
| x | = | 724 999 |
Convert the result to decimal form :
| x | = | 0.724725 |