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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 2.46x/(1+1.46x) = 0.9425 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 377 400 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 377 400 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 377 400 | × | 1 | + | 377 400 | × | 73 50 | x |
123 50 | x | = | 377 400 | + | 27521 20000 | x |
Transposition :
123 50 | x | − | 27521 20000 | x | = | 377 400 |
Combine the items on the left of the equation:
21679 20000 | x | = | 377 400 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 377 400 | ÷ | 21679 20000 |
| = | 377 400 | × | 20000 21679 |
| = | 377 | × | 50 21679 |
We obtained :
| x | = | 18850 21679 |
Convert the result to decimal form :
| x | = | 0.869505 |