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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 0.665 = (2.46x)/(1+1.46x) .
Question type: Equation
Solution:Original question:
133 200 | = | ( | 123 50 | x | ) | ÷ | ( | 1 | + | 73 50 | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 73 50 | x | ) |
133 200 | ( | 1 | + | 73 50 | x | ) | = | ( | 123 50 | x | ) |
133 200 | × | 1 | + | 133 200 | × | 73 50 | x | = | ( | 123 50 | x | ) |
133 200 | × | 1 | + | 133 200 | × | 73 50 | x | = | 123 50 | x |
133 200 | + | 9709 10000 | x | = | 123 50 | x |
Transposition :
9709 10000 | x | − | 123 50 | x | = | - | 133 200 |
Combine the items on the left of the equation:
| - | 14891 10000 | x | = | - | 133 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
133 200 | = | 14891 10000 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
14891 10000 | x | = | 133 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 133 200 | ÷ | 14891 10000 |
| = | 133 200 | × | 10000 14891 |
| = | 133 | × | 50 14891 |
We obtained :
| x | = | 6650 14891 |
Convert the result to decimal form :
| x | = | 0.446578 |