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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/0.09+(1054896.4-x)/0.13 = 11285068.48 .
Question type: Equation
Solution:Original question:
| x | ÷ | 9 100 | + | ( | 5274482 5 | − | x | ) | ÷ | 13 100 | = | 282126712 25 |
| Left side of the equation = | 100 9 | x | + | 5274482 5 | × | 100 13 | − | x | × | 100 13 |
| = | 100 9 | x | + | 105489640 13 | − | x | × | 100 13 |
| = | 400 117 | x | + | 105489640 13 |
400 117 | x | + | 105489640 13 | = | 282126712 25 |
Transposition :
400 117 | x | = | 282126712 25 | − | 105489640 13 |
Combine the items on the right of the equation:
400 117 | x | = | 1030406256 325 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1030406256 325 | ÷ | 400 117 |
| = | 1030406256 325 | × | 117 400 |
| = | 64400391 325 | × | 117 25 |
We obtained :
| x | = | 7534845747 8125 |
By reducing fraction, we can get:
| x | = | 579603519 625 |
Convert the result to decimal form :
| x | = | 927365.6304 |