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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) = 0.6004 .
Question type: Equation
Solution:Original question:
Remove a bracket on the right of the equation:：
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 2.46x/(1+1.46x) = 0.6004 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 1501 2500 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 1501 2500 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 1501 2500 | × | 1 | + | 1501 2500 | × | 73 50 | x |
123 50 | x | = | 1501 2500 | + | 109573 125000 | x |
Transposition :
123 50 | x | − | 109573 125000 | x | = | 1501 2500 |
Combine the items on the left of the equation:
197927 125000 | x | = | 1501 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1501 2500 | ÷ | 197927 125000 |
| = | 1501 2500 | × | 125000 197927 |
| = | 1501 | × | 50 197927 |
We obtained :
| x | = | 75050 197927 |
Convert the result to decimal form :
| x | = | 0.37918 |