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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 1500/X*0.045+(X-1500)/X*0.16 = 0.1309 .
Question type: Equation
Solution:Original question:
| 1500 | ÷ | X | × | 9 200 | + | ( | X | − | 1500 | ) | ÷ | X | × | 4 25 | = | 1309 10000 |
| Multiply both sides of the equation by: | X |
| 1500 | × | 9 200 | + | ( | X | − | 1500 | ) | ÷ | 1 | × | 4 25 | × | 1 | = | 1309 10000 | X |
| 1500 | × | 9 200 | + | X | ÷ | 1 | × | 4 25 | × | 1 | − | 1500 | ÷ | 1 | × | 4 25 | × | 1 | = | 1309 10000 | X |
135 2 | + | X | × | 4 25 | − | 240 | = | 1309 10000 | X |
| - | 345 2 | + | 4 25 | X | = | 1309 10000 | X |
Transposition :
4 25 | X | − | 1309 10000 | X | = | 345 2 |
Combine the items on the left of the equation:
291 10000 | X | = | 345 2 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 345 2 | ÷ | 291 10000 |
| = | 345 2 | × | 10000 291 |
| = | 115 | × | 5000 97 |
We obtained :
| X | = | 575000 97 |
Convert the result to decimal form :
| X | = | 5927.835052 |