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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 10.8×1000 = 3×（1000x—100×562）÷（100＋x）÷1562 .
Question type: Equation
Solution:Original question:
54 5 | × | 1000 | = | 3 | ( | 1000 | x | − | 100 | × | 562 | ) | ÷ | ( | 100 | + | x | ) | ÷ | 1562 |
| Multiply both sides of the equation by: | ( | 100 | + | x | ) |
54 5 | × | 1000 | ( | 100 | + | x | ) | = | 3 | ( | 1000 | x | − | 100 | × | 562 | ) | ÷ | 1562 |
54 5 | × | 1000 | × | 100 | + | 54 5 | × | 1000 | x | = | 3 | ( | 1000 | x | − | 100 | × | 562 | ) | ÷ | 1562 |
54 5 | × | 1000 | × | 100 | + | 54 5 | × | 1000 | x | = | 3 | × | 1000 | x | ÷ | 1562 | − | 3 | × | 100 | × | 562 | ÷ | 1562 |
| 1080000 | + | 10800 | x | = | 1500 781 | x | − | 84300 781 |
Transposition :
| 10800 | x | − | 1500 781 | x | = | - | 84300 781 | − | 1080000 |
Combine the items on the left of the equation:
8433300 781 | x | = | - | 84300 781 | − | 1080000 |
Combine the items on the right of the equation:
8433300 781 | x | = | - | 843564300 781 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 843564300 781 | ÷ | 8433300 781 |
| = | - | 843564300 781 | × | 781 8433300 |
| = | - | 2811881 | × | 1 28111 |
We obtained :
| x | = | - | 2811881 28111 |
Convert the result to decimal form :
| x | = | - 100.027783 |