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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 1.52196 = x-120.2/(2006.9-486.1) .
Question type: Equation
Solution:Original question:
38049 25000 | = | x | − | 601 5 | ÷ | ( | 20069 10 | − | 4861 10 | ) |
| Multiply both sides of the equation by: | ( | 20069 10 | − | 4861 10 | ) |
38049 25000 | ( | 20069 10 | − | 4861 10 | ) | = | x | ( | 20069 10 | − | 4861 10 | ) | − | 601 5 |
38049 25000 | × | 20069 10 | − | 38049 25000 | × | 4861 10 | = | x | ( | 20069 10 | − | 4861 10 | ) | − | 601 5 |
38049 25000 | × | 20069 10 | − | 38049 25000 | × | 4861 10 | = | x | × | 20069 10 | − | x | × | 4861 10 | − | 601 5 |
763605381 250000 | − | 184956189 250000 | = | x | × | 20069 10 | − | x | × | 4861 10 | − | 601 5 |
72331149 31250 | = | 7604 5 | x | − | 601 5 |
Transposition :
| - | 7604 5 | x | = | - | 601 5 | − | 72331149 31250 |
Combine the items on the right of the equation:
| - | 7604 5 | x | = | - | 76087399 31250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
76087399 31250 | = | 7604 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 :
7604 5 | x | = | 76087399 31250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 76087399 31250 | ÷ | 7604 5 |
| = | 76087399 31250 | × | 5 7604 |
| = | 76087399 6250 | × | 1 7604 |
We obtained :
| x | = | 76087399 47525000 |
Convert the result to decimal form :
| x | = | 1.600997 |