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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 x/（x+1500）*16%+1500/（x+1500）*6% = 13.09% .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | x | + | 1500 | ) | × | 16 100 | + | 1500 | ÷ | ( | x | + | 1500 | ) | × | 6 100 | = | 1309 10000 |
| Multiply both sides of the equation by: | ( | x | + | 1500 | ) |
| x | × | 16 100 | + | 1500 | × | 6 100 | = | 1309 10000 | ( | x | + | 1500 | ) |
| x | × | 16 100 | + | 1500 | × | 6 100 | = | 1309 10000 | x | + | 1309 10000 | × | 1500 |
| x | × | 16 100 | + | 90 | = | 1309 10000 | x | + | 3927 20 |
Transposition :
16 100 | x | − | 1309 10000 | x | = | 3927 20 | − | 90 |
Combine the items on the left of the equation:
291 10000 | x | = | 3927 20 | − | 90 |
Combine the items on the right of the equation:
291 10000 | x | = | 2127 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2127 20 | ÷ | 291 10000 |
| = | 2127 20 | × | 10000 291 |
| = | 709 | × | 500 97 |
We obtained :
| x | = | 354500 97 |
Convert the result to decimal form :
| x | = | 3654.639175 |