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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 1015.91 = X+X*5/10000*18 .
Question type: Equation
Solution:Original question:
101591 100 | = | X | + | X | × | 5 | ÷ | 10000 | × | 18 |
| Right side of the equation = | X | + | X | × | 9 1000 |
| = | 1009 1000 | X |
101591 100 | = | 1009 1000 | X |
Transposition :
| - | 1009 1000 | X | = | - | 101591 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
101591 100 | = | 1009 1000 | 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 :
1009 1000 | X | = | 101591 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 101591 100 | ÷ | 1009 1000 |
| = | 101591 100 | × | 1000 1009 |
| = | 101591 | × | 10 1009 |
We obtained :
| X | = | 1015910 1009 |
Convert the result to decimal form :
| X | = | 1006.848365 |