Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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) = 0.4807 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 4807 10000 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 4807 10000 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 4807 10000 | × | 1 | + | 4807 10000 | × | 73 50 | x |
123 50 | x | = | 4807 10000 | + | 350911 500000 | x |
Transposition :
123 50 | x | − | 350911 500000 | x | = | 4807 10000 |
Combine the items on the left of the equation:
879089 500000 | x | = | 4807 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4807 10000 | ÷ | 879089 500000 |
| = | 4807 10000 | × | 500000 879089 |
| = | 4807 | × | 50 879089 |
We obtained :
| x | = | 240350 879089 |
Convert the result to decimal form :
| x | = | 0.273408 |