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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 = 3×（1000x—100×562）÷（100＋x）÷1562 .
Question type: Equation
Solution:Original question:
54 5 | = | 3 | ( | 1000 | x | − | 100 | × | 562 | ) | ÷ | ( | 100 | + | x | ) | ÷ | 1562 |
| Multiply both sides of the equation by: | ( | 100 | + | x | ) |
54 5 | ( | 100 | + | x | ) | = | 3 | ( | 1000 | x | − | 100 | × | 562 | ) | ÷ | 1562 |
54 5 | × | 100 | + | 54 5 | x | = | 3 | ( | 1000 | x | − | 100 | × | 562 | ) | ÷ | 1562 |
54 5 | × | 100 | + | 54 5 | x | = | 3 | × | 1000 | x | ÷ | 1562 | − | 3 | × | 100 | × | 562 | ÷ | 1562 |
| 1080 | + | 54 5 | x | = | 1500 781 | x | − | 84300 781 |
Transposition :
54 5 | x | − | 1500 781 | x | = | - | 84300 781 | − | 1080 |
Combine the items on the left of the equation:
34674 3905 | x | = | - | 84300 781 | − | 1080 |
Combine the items on the right of the equation:
34674 3905 | x | = | - | 927780 781 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 927780 781 | ÷ | 34674 3905 |
| = | - | 927780 781 | × | 3905 34674 |
| = | - | 154630 | × | 5 5779 |
We obtained :
| x | = | - | 773150 5779 |
Convert the result to decimal form :
| x | = | - 133.786122 |