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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 （66.1642-x）/2.0039 = 3.4 .
Question type: Equation
Solution:Original question:
| ( | 330821 5000 | − | x | ) | ÷ | 20039 10000 | = | 17 5 |
| Left side of the equation = | 330821 5000 | × | 10000 20039 | − | x | × | 10000 20039 |
| = | 661642 20039 | − | x | × | 10000 20039 |
661642 20039 | − | 10000 20039 | x | = | 17 5 |
Transposition :
| - | 10000 20039 | x | = | 17 5 | − | 661642 20039 |
Combine the items on the right of the equation:
| - | 10000 20039 | x | = | - | 2967547 100195 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2967547 100195 | = | 10000 20039 | 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 :
10000 20039 | x | = | 2967547 100195 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2967547 100195 | ÷ | 10000 20039 |
| = | 2967547 100195 | × | 20039 10000 |
| = | 2967547 3455 | × | 691 10000 |
We obtained :
| x | = | 2050574977 34550000 |
By reducing fraction, we can get:
| x | = | 2967547 50000 |
Convert the result to decimal form :
| x | = | 59.35094 |