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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) = 0.9639 .
Question type: Equation
Solution:Original question:
123 50 | x | ÷ | ( | 1 | + | 73 50 | x | ) | = | 9639 10000 |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 9639 10000 | ( | 1 | + | 73 50 | x | ) |
123 50 | x | = | 9639 10000 | × | 1 | + | 9639 10000 | × | 73 50 | x |
123 50 | x | = | 9639 10000 | + | 703647 500000 | x |
Transposition :
123 50 | x | − | 703647 500000 | x | = | 9639 10000 |
Combine the items on the left of the equation:
526353 500000 | x | = | 9639 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9639 10000 | ÷ | 526353 500000 |
| = | 9639 10000 | × | 500000 526353 |
| = | 3213 | × | 50 175451 |
We obtained :
| x | = | 160650 175451 |
Convert the result to decimal form :
| x | = | 0.91564 |