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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) = 0.5347 .
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) = 0.5347 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 5347 10000 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 5347 10000 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 5347 10000 | × | 1 | + | 5347 10000 | × | 73 50 | x |
123 50 | x | = | 5347 10000 | + | 390331 500000 | x |
Transposition :
123 50 | x | − | 390331 500000 | x | = | 5347 10000 |
Combine the items on the left of the equation:
839669 500000 | x | = | 5347 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5347 10000 | ÷ | 839669 500000 |
| = | 5347 10000 | × | 500000 839669 |
| = | 5347 | × | 50 839669 |
We obtained :
| x | = | 267350 839669 |
Convert the result to decimal form :
| x | = | 0.318399 |