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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 1.5137 = x-120.2/(2006.9-656.3) .
Question type: Equation
Solution:Original question:
15137 10000 | = | x | − | 601 5 | ÷ | ( | 20069 10 | − | 6563 10 | ) |
| Multiply both sides of the equation by: | ( | 20069 10 | − | 6563 10 | ) |
15137 10000 | ( | 20069 10 | − | 6563 10 | ) | = | x | ( | 20069 10 | − | 6563 10 | ) | − | 601 5 |
15137 10000 | × | 20069 10 | − | 15137 10000 | × | 6563 10 | = | x | ( | 20069 10 | − | 6563 10 | ) | − | 601 5 |
15137 10000 | × | 20069 10 | − | 15137 10000 | × | 6563 10 | = | x | × | 20069 10 | − | x | × | 6563 10 | − | 601 5 |
303784453 100000 | − | 99344131 100000 | = | x | × | 20069 10 | − | x | × | 6563 10 | − | 601 5 |
102220161 50000 | = | 6753 5 | x | − | 601 5 |
Transposition :
| - | 6753 5 | x | = | - | 601 5 | − | 102220161 50000 |
Combine the items on the right of the equation:
| - | 6753 5 | x | = | - | 108230161 50000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
108230161 50000 | = | 6753 5 | 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 :
6753 5 | x | = | 108230161 50000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 108230161 50000 | ÷ | 6753 5 |
| = | 108230161 50000 | × | 5 6753 |
| = | 108230161 10000 | × | 1 6753 |
We obtained :
| x | = | 108230161 67530000 |
Convert the result to decimal form :
| x | = | 1.602697 |