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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 463126*0.03/1.03*1.125 = X-463126+x*0.01/1.01*1.125 .
Question type: Equation
Solution:Original question:
| 463126 | × | 3 100 | ÷ | 103 100 | × | 9 8 | = | X | − | 463126 | + | X | × | 1 100 | ÷ | 101 100 | × | 9 8 |
| Left side of the equation = | 6252201 412 |
6252201 412 | = | X | − | 463126 | + | X | × | 1 100 | ÷ | 101 100 | × | 9 8 |
| Right side of the equation = | X | − | 463126 | + | X | × | 9 808 |
| = | 817 808 | X | − | 463126 |
6252201 412 | = | 817 808 | X | − | 463126 |
Transposition :
| - | 817 808 | X | = | - | 463126 | − | 6252201 412 |
Combine the items on the right of the equation:
| - | 817 808 | X | = | - | 197060113 412 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
197060113 412 | = | 817 808 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
817 808 | X | = | 197060113 412 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 197060113 412 | ÷ | 817 808 |
| = | 197060113 412 | × | 808 817 |
| = | 197060113 103 | × | 202 817 |
We obtained :
| X | = | 39806142826 84151 |