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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 12.8 = 11.5+0.04/(0.04+0.96x)*4.1 .
Question type: Equation
Solution:Original question:
64 5 | = | 23 2 | + | 1 25 | ÷ | ( | 1 25 | + | 24 25 | x | ) | × | 41 10 |
| Multiply both sides of the equation by: | ( | 1 25 | + | 24 25 | x | ) |
64 5 | ( | 1 25 | + | 24 25 | x | ) | = | 23 2 | ( | 1 25 | + | 24 25 | x | ) | + | 1 25 | × | 41 10 |
64 5 | × | 1 25 | + | 64 5 | × | 24 25 | x | = | 23 2 | ( | 1 25 | + | 24 25 | x | ) | + | 1 25 | × | 41 10 |
64 5 | × | 1 25 | + | 64 5 | × | 24 25 | x | = | 23 2 | × | 1 25 | + | 23 2 | × | 24 25 | x | + | 1 25 | × | 41 10 |
64 125 | + | 1536 125 | x | = | 23 50 | + | 276 25 | x | + | 41 250 |
64 125 | + | 1536 125 | x | = | 78 125 | + | 276 25 | x |
Transposition :
1536 125 | x | − | 276 25 | x | = | 78 125 | − | 64 125 |
Combine the items on the left of the equation:
156 125 | x | = | 78 125 | − | 64 125 |
Combine the items on the right of the equation:
156 125 | x | = | 14 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 14 125 | ÷ | 156 125 |
| = | 14 125 | × | 125 156 |
| = | 7 | × | 1 78 |
We obtained :
| x | = | 7 78 |
Convert the result to decimal form :
| x | = | 0.089744 |