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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) = 0.978 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 489 500 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 489 500 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 489 500 | × | 1 | + | 489 500 | × | 73 50 | x |
123 50 | x | = | 489 500 | + | 35697 25000 | x |
Transposition :
123 50 | x | − | 35697 25000 | x | = | 489 500 |
Combine the items on the left of the equation:
25803 25000 | x | = | 489 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 489 500 | ÷ | 25803 25000 |
| = | 489 500 | × | 25000 25803 |
| = | 163 | × | 50 8601 |
We obtained :
| x | = | 8150 8601 |
Convert the result to decimal form :
| x | = | 0.947564 |