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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 (30.1*x)/(x+30.1) = 11.11375 .
Question type: Equation
Solution:Original question:
| ( | 301 10 | x | ) | ÷ | ( | x | + | 301 10 | ) | = | 8891 800 |
| Multiply both sides of the equation by: | ( | x | + | 301 10 | ) |
| ( | 301 10 | x | ) | = | 8891 800 | ( | x | + | 301 10 | ) |
301 10 | x | = | 8891 800 | ( | x | + | 301 10 | ) |
301 10 | x | = | 8891 800 | x | + | 8891 800 | × | 301 10 |
301 10 | x | = | 8891 800 | x | + | 2676191 8000 |
Transposition :
301 10 | x | − | 8891 800 | x | = | 2676191 8000 |
Combine the items on the left of the equation:
15189 800 | x | = | 2676191 8000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2676191 8000 | ÷ | 15189 800 |
| = | 2676191 8000 | × | 800 15189 |
| = | 2676191 10 | × | 1 15189 |
We obtained :
| x | = | 2676191 151890 |
Convert the result to decimal form :
| x | = | 17.619271 |