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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 (0.009*2.024+0.5*x)/(2.024+x)-0.01 = 0 .
Question type: Equation
Solution:Original question:
| ( | 9 1000 | × | 253 125 | + | 1 2 | x | ) | ÷ | ( | 253 125 | + | x | ) | − | 1 100 | = | 0 |
| Multiply both sides of the equation by: | ( | 253 125 | + | x | ) |
| ( | 9 1000 | × | 253 125 | + | 1 2 | x | ) | − | 1 100 | ( | 253 125 | + | x | ) | = | 0 |
9 1000 | × | 253 125 | + | 1 2 | x | − | 1 100 | ( | 253 125 | + | x | ) | = | 0 |
2277 125000 | + | 1 2 | x | − | 1 100 | ( | 253 125 | + | x | ) | = | 0 |
2277 125000 | + | 1 2 | x | − | 1 100 | × | 253 125 | − | 1 100 | x | = | 0 |
2277 125000 | + | 1 2 | x | − | 253 12500 | − | 1 100 | x | = | 0 |
| - | 253 125000 | + | 49 100 | x | = | 0 |
Transposition :
49 100 | x | = | 0 | + | 253 125000 |
Combine the items on the right of the equation:
49 100 | x | = | 253 125000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 253 125000 | ÷ | 49 100 |
| = | 253 125000 | × | 100 49 |
| = | 253 1250 | × | 1 49 |
We obtained :
| x | = | 253 61250 |
Convert the result to decimal form :
| x | = | 0.004131 |