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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-650)/1333.33 = (x-350)/2400 .
Question type: Equation
Solution:Original question:
| ( | x | − | 650 | ) | ÷ | 133333 100 | = | ( | x | − | 350 | ) | ÷ | 2400 |
| Left side of the equation = | x | × | 100 133333 | − | 650 | × | 100 133333 |
| = | x | × | 100 133333 | − | 65000 133333 |
100 133333 | x | − | 65000 133333 | = | ( | x | − | 350 | ) | ÷ | 2400 |
| Right side of the equation = | x | × | 1 2400 | − | 350 | × | 1 2400 |
| = | x | × | 1 2400 | − | 7 48 |
100 133333 | x | − | 65000 133333 | = | 1 2400 | x | − | 7 48 |
Transposition :
100 133333 | x | − | 1 2400 | x | = | - | 7 48 | + | 65000 133333 |
Combine the items on the left of the equation:
106667 319999200 | x | = | - | 7 48 | + | 65000 133333 |
Combine the items on the right of the equation:
106667 319999200 | x | = | 2186669 6399984 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2186669 6399984 | ÷ | 106667 319999200 |
| = | 2186669 6399984 | × | 319999200 106667 |
| = | 2186669 883 | × | 44150 106667 |
We obtained :
| x | = | 96541436350 94186961 |