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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 (2.5*x)/(1.5*x+1) = 0.9598 .
Question type: Equation
Solution:Original question:
| ( | 5 2 | x | ) | ÷ | ( | 3 2 | x | + | 1 | ) | = | 4799 5000 |
| Multiply both sides of the equation by: | ( | 3 2 | x | + | 1 | ) |
| ( | 5 2 | x | ) | = | 4799 5000 | ( | 3 2 | x | + | 1 | ) |
5 2 | x | = | 4799 5000 | ( | 3 2 | x | + | 1 | ) |
5 2 | x | = | 4799 5000 | × | 3 2 | x | + | 4799 5000 | × | 1 |
5 2 | x | = | 14397 10000 | x | + | 4799 5000 |
Transposition :
5 2 | x | − | 14397 10000 | x | = | 4799 5000 |
Combine the items on the left of the equation:
10603 10000 | x | = | 4799 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4799 5000 | ÷ | 10603 10000 |
| = | 4799 5000 | × | 10000 10603 |
| = | 4799 | × | 2 10603 |
We obtained :
| x | = | 9598 10603 |
Convert the result to decimal form :
| x | = | 0.905216 |