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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 {x-52.71-(x*0.13)-4.12-(x*0.36)}/3.1-8.3-10 = 19.22 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation {x-52.71-(x*0.13)-4.12-(x*0.36)}/3.1-8.3-10 = 19.22 .
Question type: Equation
Solution:Original question:
| ( | x | − | 5271 100 | − | ( | x | × | 13 100 | ) | − | 103 25 | − | ( | x | × | 9 25 | ) | ) | ÷ | 31 10 | − | 83 10 | − | 10 | = | 961 50 |
| Left side of the equation = | ( | x | − | 5271 100 | − | ( | x | × | 13 100 | ) | − | 103 25 | − | ( | x | × | 9 25 | ) | ) | × | 10 31 | − | 183 10 |
| ( | x | − | 5271 100 | − | ( | x | × | 13 100 | ) | − | 103 25 | − | ( | x | × | 9 25 | ) | ) | × | 10 31 | − | 183 10 | = | 961 50 |
| Left side of the equation = | x | × | 10 31 | − | 5271 100 | × | 10 31 | − | ( | x | × | 13 100 | ) | × | 10 31 | − | 103 25 | × | 10 31 | − | ( | x | × | 9 25 | ) | × | 10 31 | − | 183 10 |
| = | x | × | 10 31 | − | 5271 310 | − | ( | x | × | 13 100 | ) | × | 10 31 | − | 206 155 | − | ( | x | × | 9 25 | ) | × | 10 31 | − | 183 10 |
| = | 10 31 | x | − | 5678 155 | − | ( | x | × | 13 100 | ) | × | 10 31 | − | ( | x | × | 9 25 | ) | × | 10 31 |
| = | 10 31 | x | − | 5678 155 | − | x | × | 13 100 | × | 10 31 | − | ( | x | × | 9 25 | ) | × | 10 31 |
| = | 10 31 | x | − | 5678 155 | − | x | × | 13 310 | − | ( | x | × | 9 25 | ) | × | 10 31 |
| = | 87 310 | x | − | 5678 155 | − | ( | x | × | 9 25 | ) | × | 10 31 |
| = | 87 310 | x | − | 5678 155 | − | x | × | 9 25 | × | 10 31 |
| = | 87 310 | x | − | 5678 155 | − | x | × | 18 155 |
| = | 51 310 | x | − | 5678 155 |
51 310 | x | − | 5678 155 | = | 961 50 |
Transposition :
51 310 | x | = | 961 50 | + | 5678 155 |
Combine the items on the right of the equation:
51 310 | x | = | 86571 1550 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 86571 1550 | ÷ | 51 310 |
| = | 86571 1550 | × | 310 51 |
| = | 28857 5 | × | 1 17 |
We obtained :
| x | = | 28857 85 |
Convert the result to decimal form :
| x | = | 339.494118 |