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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/112-4.5/45-13/44.7-60/500-15/1650 = 0.0027(92.5+X) .
Question type: Equation
Solution:Original question:
| X | ÷ | 112 | − | 9 2 | ÷ | 45 | − | 13 | ÷ | 447 10 | − | 60 | ÷ | 500 | − | 15 | ÷ | 1650 | = | 27 10000 | ( | 185 2 | + | X | ) |
| Left side of the equation = | X | × | 1 112 | − | 1 10 | − | 130 447 | − | 3 25 | − | 1 110 |
| = | 1 112 | X | − | 63911 122925 |
1 112 | X | − | 63911 122925 | = | 27 10000 | ( | 185 2 | + | X | ) |
| Right side of the equation = | 27 10000 | × | 185 2 | + | 27 10000 | X |
| = | 999 4000 | + | 27 10000 | X |
1 112 | X | − | 63911 122925 | = | 999 4000 | + | 27 10000 | X |
Transposition :
1 112 | X | − | 27 10000 | X | = | 999 4000 | + | 63911 122925 |
Combine the items on the left of the equation:
109 17500 | X | = | 999 4000 | + | 63911 122925 |
Combine the items on the right of the equation:
109 17500 | X | = | 15137843 19668000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 15137843 19668000 | ÷ | 109 17500 |
| = | 15137843 19668000 | × | 17500 109 |
| = | 15137843 39336 | × | 35 109 |
We obtained :
| X | = | 529824505 4287624 |
Convert the result to decimal form :
| X | = | 123.570655 |